1014892640 has 48 divisors (see below), whose sum is σ = 2413832400. Its totient is φ = 403223040.

The previous prime is 1014892621. The next prime is 1014892649. The reversal of 1014892640 is 462984101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1014892640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014892649) 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 7 ways as a sum of consecutive naturals, for example, 2555 + ... + 45125.

It is an arithmetic number, because the mean of its divisors is an integer number (50288175).

Almost surely, 2^1014892640 is an apocalyptic number.

1014892640 is a gapful number since it is divisible by the number (10) 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 1014892640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206916200).

1014892640 is an abundant number, since it is smaller than the sum of its proper divisors (1398939760).

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

1014892640 is a wasteful number, since it uses less digits than its factorization.

1014892640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42735 (or 42727 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 1014892640 is about 31857.3796788123. The cubic root of 1014892640 is about 1004.9397718088.

The spelling of 1014892640 in words is "one billion, fourteen million, eight hundred ninety-two thousand, six hundred forty".