63957152 has 48 divisors (see below), whose sum is σ = 146865600. Its totient is φ = 27405504.

The previous prime is 63957149. The next prime is 63957161. The reversal of 63957152 is 25175936.

It is a happy number.

It is a super-2 number, since 2×63957152² = 8181034583902208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8063 + ... + 13889.

It is an arithmetic number, because the mean of its divisors is an integer number (3059700).

Almost surely, 2^63957152 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 63957152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73432800).

63957152 is an abundant number, since it is smaller than the sum of its proper divisors (82908448).

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

63957152 is an equidigital number, since it uses as much as digits as its factorization.

63957152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5858 (or 5836 counting only the distinct ones).

The product of its digits is 56700, while the sum is 38.

The square root of 63957152 is about 7997.3215516196. The cubic root of 63957152 is about 399.9107134046.

The spelling of 63957152 in words is "sixty-three million, nine hundred fifty-seven thousand, one hundred fifty-two".