10157664 has 48 divisors (see below), whose sum is σ = 29090880. Its totient is φ = 3077760.

The previous prime is 10157663. The next prime is 10157681. The reversal of 10157664 is 46675101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10157663) 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, 3754 + ... + 5865.

It is an arithmetic number, because the mean of its divisors is an integer number (606060).

Almost surely, 2^10157664 is an apocalyptic number.

It is an amenable number.

10157664 is an abundant number, since it is smaller than the sum of its proper divisors (18933216).

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

10157664 is a wasteful number, since it uses less digits than its factorization.

10157664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9643 (or 9635 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 10157664 is about 3187.1090348465. The cubic root of 10157664 is about 216.5698260194.

The spelling of 10157664 in words is "ten million, one hundred fifty-seven thousand, six hundred sixty-four".