64038564 has 72 divisors (see below), whose sum is σ = 167975808. Its totient is φ = 20554560.

The previous prime is 64038563. The next prime is 64038577. The reversal of 64038564 is 46583046.

64038564 is a `hidden beast` number, since 64 + 0 + 38 + 564 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (64038563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174309 + ... + 174675.

Almost surely, 2^64038564 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 64038564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83987904).

64038564 is an abundant number, since it is smaller than the sum of its proper divisors (103937244).

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

64038564 is a wasteful number, since it uses less digits than its factorization.

64038564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 64038564 is about 8002.4098870278. The cubic root of 64038564 is about 400.0803255351.

It can be divided in two parts, 640 and 38564, that added together give a square (39204 = 198²).

The spelling of 64038564 in words is "sixty-four million, thirty-eight thousand, five hundred sixty-four".