64157952 has 72 divisors (see below), whose sum is σ = 172268320. Its totient is φ = 21196800.

The previous prime is 64157939. The next prime is 64157953. The reversal of 64157952 is 25975146.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 64157952.

It is not an unprimeable number, because it can be changed into a prime (64157953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106452 + ... + 107052.

Almost surely, 2^64157952 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 64157952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86134160).

64157952 is an abundant number, since it is smaller than the sum of its proper divisors (108110368).

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

64157952 is a wasteful number, since it uses less digits than its factorization.

64157952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 745 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 64157952 is about 8009.8659164807. The cubic root of 64157952 is about 400.3287963251.

The spelling of 64157952 in words is "sixty-four million, one hundred fifty-seven thousand, nine hundred fifty-two".