1038790920 has 64 divisors (see below), whose sum is σ = 3143992320. Its totient is φ = 274555904.

The previous prime is 1038790913. The next prime is 1038790927. The reversal of 1038790920 is 290978301.

1038790920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1038790913) and next prime (1038790927).

It is not an unprimeable number, because it can be changed into a prime (1038790927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24744 + ... + 51863.

It is an arithmetic number, because the mean of its divisors is an integer number (49124880).

Almost surely, 2^1038790920 is an apocalyptic number.

1038790920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1038790920 is an abundant number, since it is smaller than the sum of its proper divisors (2105201400).

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

1038790920 is a wasteful number, since it uses less digits than its factorization.

1038790920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76734 (or 76730 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 1038790920 is about 32230.2795519989. The cubic root of 1038790920 is about 1012.7666263221.

The spelling of 1038790920 in words is "one billion, thirty-eight million, seven hundred ninety thousand, nine hundred twenty".