64296960 has 384 divisors, whose sum is σ = 264176640. Its totient is φ = 12976128.

The previous prime is 64296959. The next prime is 64297001. The reversal of 64296960 is 6969246.

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 (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2795509 + ... + 2795531.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 2^64296960 is an apocalyptic number.

64296960 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 64296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

64296960 is an abundant number, since it is smaller than the sum of its proper divisors (199879680).

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

64296960 is a wasteful number, since it uses less digits than its factorization.

64296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 64296960 is about 8018.5385202043. The cubic root of 64296960 is about 400.6177122546.

It can be divided in two parts, 64296 and 960, that added together give a palindrome (65256).

The spelling of 64296960 in words is "sixty-four million, two hundred ninety-six thousand, nine hundred sixty".