657152 has 36 divisors (see below), whose sum is σ = 1398096. Its totient is φ = 307200.

The previous prime is 657131. The next prime is 657187. The reversal of 657152 is 251756.

It is a super-2 number, since 2×657152² = 863697502208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4277 + ... + 4427.

It is an arithmetic number, because the mean of its divisors is an integer number (38836).

2⁶⁵⁷¹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 657152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699048).

657152 is an abundant number, since it is smaller than the sum of its proper divisors (740944).

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

657152 is a wasteful number, since it uses less digits than its factorization.

657152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 170 counting only the distinct ones).

The product of its digits is 2100, while the sum is 26.

The square root of 657152 is about 810.6491226172. The cubic root of 657152 is about 86.9404621936.

The spelling of 657152 in words is "six hundred fifty-seven thousand, one hundred fifty-two".