157697568 has 288 divisors, whose sum is σ = 566092800. Its totient is φ = 40601088.

The previous prime is 157697557. The next prime is 157697597. The reversal of 157697568 is 865796751.

157697568 is a `hidden beast` number, since 1 + 5 + 76 + 9 + 7 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×157697568² = 49737045906229248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 880903 + ... + 881081.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^157697568 is an apocalyptic number.

157697568 is a gapful number since it is divisible by the number (18) 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 157697568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283046400).

157697568 is an abundant number, since it is smaller than the sum of its proper divisors (408395232).

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

157697568 is a wasteful number, since it uses less digits than its factorization.

157697568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 233 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The square root of 157697568 is about 12557.7692286489. The cubic root of 157697568 is about 540.2668639809.

The spelling of 157697568 in words is "one hundred fifty-seven million, six hundred ninety-seven thousand, five hundred sixty-eight".