157664920 has 64 divisors (see below), whose sum is σ = 408441600. Its totient is φ = 53654400.

The previous prime is 157664917. The next prime is 157664929. The reversal of 157664920 is 29466751.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157664929) 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 15 ways as a sum of consecutive naturals, for example, 36895 + ... + 40945.

It is an arithmetic number, because the mean of its divisors is an integer number (6381900).

Almost surely, 2^157664920 is an apocalyptic number.

157664920 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 157664920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204220800).

157664920 is an abundant number, since it is smaller than the sum of its proper divisors (250776680).

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

157664920 is a wasteful number, since it uses less digits than its factorization.

157664920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208 (or 4204 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 157664920 is about 12556.4692489569. The cubic root of 157664920 is about 540.2295777369.

The spelling of 157664920 in words is "one hundred fifty-seven million, six hundred sixty-four thousand, nine hundred twenty".