157684896 has 72 divisors (see below), whose sum is σ = 451301760. Its totient is φ = 52223616.

The previous prime is 157684883. The next prime is 157684897. The reversal of 157684896 is 698486751.

157684896 is a `hidden beast` number, since 157 + 6 + 8 + 489 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (157684897) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45265 + ... + 48623.

It is an arithmetic number, because the mean of its divisors is an integer number (6268080).

Almost surely, 2^157684896 is an apocalyptic number.

157684896 is a gapful number since it is divisible by the number (16) 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 157684896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225650880).

157684896 is an abundant number, since it is smaller than the sum of its proper divisors (293616864).

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

157684896 is a wasteful number, since it uses less digits than its factorization.

157684896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3538 (or 3527 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 157684896 is about 12557.2646703014. The cubic root of 157684896 is about 540.2523923033.

The spelling of 157684896 in words is "one hundred fifty-seven million, six hundred eighty-four thousand, eight hundred ninety-six".