64275120 has 400 divisors, whose sum is σ = 277273920. Its totient is φ = 13436928.

The previous prime is 64275109. The next prime is 64275137. The reversal of 64275120 is 2157246.

64275120 is a `hidden beast` number, since 642 + 7 + 5 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 589626 + ... + 589734.

Almost surely, 2^64275120 is an apocalyptic number.

64275120 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 64275120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138636960).

64275120 is an abundant number, since it is smaller than the sum of its proper divisors (212998800).

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

64275120 is a wasteful number, since it uses less digits than its factorization.

64275120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 64275120 is about 8017.1765603609. The cubic root of 64275120 is about 400.5723473224.

The spelling of 64275120 in words is "sixty-four million, two hundred seventy-five thousand, one hundred twenty".