1872924768 has 480 divisors, whose sum is σ = 6720924672. Its totient is φ = 503884800.

The previous prime is 1872924763. The next prime is 1872924827. The reversal of 1872924768 is 8674292781.

It is a happy number.

1872924768 is a `hidden beast` number, since 1 + 87 + 2 + 92 + 476 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1872924763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11490255 + ... + 11490417.

Almost surely, 2^1872924768 is an apocalyptic number.

1872924768 is a gapful number since it is divisible by the number (18) 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 1872924768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360462336).

1872924768 is an abundant number, since it is smaller than the sum of its proper divisors (4847999904).

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

1872924768 is a wasteful number, since it uses less digits than its factorization.

1872924768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 223 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 1872924768 is about 43277.3008400478. The cubic root of 1872924768 is about 1232.6509392499.

The spelling of 1872924768 in words is "one billion, eight hundred seventy-two million, nine hundred twenty-four thousand, seven hundred sixty-eight".