64920960 has 384 divisors, whose sum is σ = 263037600. Its totient is φ = 15040512.

The previous prime is 64920953. The next prime is 64920971. The reversal of 64920960 is 6902946.

64920960 is a `hidden beast` number, since 649 + 2 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3818872 + ... + 3818888.

Almost surely, 2^64920960 is an apocalyptic number.

64920960 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 64920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131518800).

64920960 is an abundant number, since it is smaller than the sum of its proper divisors (198116640).

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

64920960 is a wasteful number, since it uses less digits than its factorization.

64920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 64920960 is about 8057.3544045177. The cubic root of 64920960 is about 401.9095363383.

It can be divided in two parts, 649 and 20960, that added together give a square (21609 = 147²).

The spelling of 64920960 in words is "sixty-four million, nine hundred twenty thousand, nine hundred sixty".