157960 has 32 divisors (see below), whose sum is σ = 388800. Its totient is φ = 57280.

The previous prime is 157951. The next prime is 157991. The reversal of 157960 is 69751.

It is a happy number.

It is a nialpdrome in base 11.

It is an unprimeable number.

157960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261 + ... + 619.

It is an arithmetic number, because the mean of its divisors is an integer number (12150).

2¹⁵⁷⁹⁶⁰ is an apocalyptic number.

157960 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 157960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194400).

157960 is an abundant number, since it is smaller than the sum of its proper divisors (230840).

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

157960 is a wasteful number, since it uses less digits than its factorization.

157960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 157960 is about 397.4418196416. The cubic root of 157960 is about 54.0566392457.

Subtracting from 157960 its reverse (69751), we obtain a square (88209 = 297²).

The spelling of 157960 in words is "one hundred fifty-seven thousand, nine hundred sixty".