64456320 has 128 divisors (see below), whose sum is σ = 209304000. Its totient is φ = 16867328.

The previous prime is 64456309. The next prime is 64456349. The reversal of 64456320 is 2365446.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112996 + ... + 113564.

Almost surely, 2^64456320 is an apocalyptic number.

64456320 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 64456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104652000).

64456320 is an abundant number, since it is smaller than the sum of its proper divisors (144847680).

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

64456320 is a wasteful number, since it uses less digits than its factorization.

64456320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 64456320 is about 8028.4693435299. The cubic root of 64456320 is about 400.9484161564.

The spelling of 64456320 in words is "sixty-four million, four hundred fifty-six thousand, three hundred twenty".