64753584 has 80 divisors (see below), whose sum is σ = 192368640. Its totient is φ = 18385920.

The previous prime is 64753583. The next prime is 64753603. The reversal of 64753584 is 48535746.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (64753583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63672 + ... + 64680.

It is an arithmetic number, because the mean of its divisors is an integer number (2404608).

Almost surely, 2^64753584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64753584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96184320).

64753584 is an abundant number, since it is smaller than the sum of its proper divisors (127615056).

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

64753584 is a wasteful number, since it uses less digits than its factorization.

64753584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1212 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 64753584 is about 8046.9611655581. The cubic root of 64753584 is about 401.5638446734.

The spelling of 64753584 in words is "sixty-four million, seven hundred fifty-three thousand, five hundred eighty-four".