64626688 has 112 divisors (see below), whose sum is σ = 157276800. Its totient is φ = 26492928.

The previous prime is 64626677. The next prime is 64626689. The reversal of 64626688 is 88662646.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (46).

Its product of digits (663552) is a multiple of the sum of its prime divisors (32).

It is not an unprimeable number, because it can be changed into a prime (64626689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2809845 + ... + 2809867.

Almost surely, 2^64626688 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 64626688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78638400).

64626688 is an abundant number, since it is smaller than the sum of its proper divisors (92650112).

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

64626688 is an frugal number, since it uses more digits than its factorization.

64626688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 32 counting only the distinct ones).

The product of its digits is 663552, while the sum is 46.

The square root of 64626688 is about 8039.0725833270. The cubic root of 64626688 is about 401.3013615538.

64626688 divided by its sum of digits (46) gives a cube (1404928 = 112³).

The spelling of 64626688 in words is "sixty-four million, six hundred twenty-six thousand, six hundred eighty-eight".