1924140672 has 96 divisors (see below), whose sum is σ = 5571427680. Its totient is φ = 637383168.

The previous prime is 1924140667. The next prime is 1924140677. The reversal of 1924140672 is 2760414291.

It is a happy number.

1924140672 is a `hidden beast` number, since 1 + 9 + 241 + 406 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1924140667) and next prime (1924140677).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1924140672³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1924140677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182653 + ... + 192899.

It is an arithmetic number, because the mean of its divisors is an integer number (58035705).

Almost surely, 2^1924140672 is an apocalyptic number.

1924140672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1924140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785713840).

1924140672 is an abundant number, since it is smaller than the sum of its proper divisors (3647287008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1924140672 is a wasteful number, since it uses less digits than its factorization.

1924140672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10430 (or 10415 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1924140672 is about 43865.0278923883. The cubic root of 1924140672 is about 1243.7858352107.

The spelling of 1924140672 in words is "one billion, nine hundred twenty-four million, one hundred forty thousand, six hundred seventy-two".