64307664 has 60 divisors (see below), whose sum is σ = 182947492. Its totient is φ = 21081600.

The previous prime is 64307657. The next prime is 64307687. The reversal of 64307664 is 46670346.

64307664 is a `hidden beast` number, since 643 + 0 + 7 + 6 + 6 + 4 = 666.

64307664 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 627264 + 63680400 = 792^2 + 7980^2 .

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

64307664 is a nontrivial repdigit in base 11.

It is a plaindrome in base 11.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5124 + ... + 12444.

Almost surely, 2^64307664 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 64307664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91473746).

64307664 is an abundant number, since it is smaller than the sum of its proper divisors (118639828).

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

64307664 is a wasteful number, since it uses less digits than its factorization.

64307664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7396 (or 7387 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 64307664 is about 8019.2059457280. The cubic root of 64307664 is about 400.6399423053.

The spelling of 64307664 in words is "sixty-four million, three hundred seven thousand, six hundred sixty-four".