64125360 has 360 divisors, whose sum is σ = 254876544. Its totient is φ = 14376960.

The previous prime is 64125359. The next prime is 64125379. The reversal of 64125360 is 6352146.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×64125360² = 8224123590259200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2068545 + ... + 2068575.

Almost surely, 2^64125360 is an apocalyptic number.

64125360 is a gapful number since it is divisible by the number (60) 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 64125360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127438272).

64125360 is an abundant number, since it is smaller than the sum of its proper divisors (190751184).

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

64125360 is a wasteful number, since it uses less digits than its factorization.

64125360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 64125360 is about 8007.8311670514. The cubic root of 64125360 is about 400.2609963319.

The spelling of 64125360 in words is "sixty-four million, one hundred twenty-five thousand, three hundred sixty".