157608880 has 160 divisors (see below), whose sum is σ = 449971200. Its totient is φ = 50519040.

The previous prime is 157608859. The next prime is 157608901. The reversal of 157608880 is 88806751.

157608880 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 (157608859) and next prime (157608901).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262821 + ... + 263419.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2^157608880 is an apocalyptic number.

157608880 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 157608880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

157608880 is an abundant number, since it is smaller than the sum of its proper divisors (292362320).

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

157608880 is a wasteful number, since it uses less digits than its factorization.

157608880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 43.

The square root of 157608880 is about 12554.2375316066. The cubic root of 157608880 is about 540.1655642305.

The spelling of 157608880 in words is "one hundred fifty-seven million, six hundred eight thousand, eight hundred eighty".