1038953136 has 80 divisors (see below), whose sum is σ = 3042583040. Its totient is φ = 302849280.

The previous prime is 1038953131. The next prime is 1038953177. The reversal of 1038953136 is 6313598301.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1038953094 and 1038953103.

It is not an unprimeable number, because it can be changed into a prime (1038953131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31960 + ... + 55671.

It is an arithmetic number, because the mean of its divisors is an integer number (38032288).

Almost surely, 2^1038953136 is an apocalyptic number.

1038953136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1038953136 is an abundant number, since it is smaller than the sum of its proper divisors (2003629904).

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

1038953136 is a wasteful number, since it uses less digits than its factorization.

1038953136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87674 (or 87668 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 1038953136 is about 32232.7959693229. The cubic root of 1038953136 is about 1012.8193409402.

The spelling of 1038953136 in words is "one billion, thirty-eight million, nine hundred fifty-three thousand, one hundred thirty-six".