64812960 has 144 divisors (see below), whose sum is σ = 229503456. Its totient is φ = 17273088.

The previous prime is 64812947. The next prime is 64812961. The reversal of 64812960 is 6921846.

64812960 is a `hidden beast` number, since 648 + 1 + 2 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (64812961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38047 + ... + 39713.

It is an arithmetic number, because the mean of its divisors is an integer number (1593774).

Almost surely, 2^64812960 is an apocalyptic number.

64812960 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 64812960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114751728).

64812960 is an abundant number, since it is smaller than the sum of its proper divisors (164690496).

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

64812960 is a wasteful number, since it uses less digits than its factorization.

64812960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 64812960 is about 8050.6496632259. The cubic root of 64812960 is about 401.6865455823.

The spelling of 64812960 in words is "sixty-four million, eight hundred twelve thousand, nine hundred sixty".