67800564 has 60 divisors (see below), whose sum is σ = 190890084. Its totient is φ = 20860416.

The previous prime is 67800563. The next prime is 67800571. The reversal of 67800564 is 46500876.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23444964 + 44355600 = 4842^2 + 6660^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67800563) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3837 + ... + 12260.

Almost surely, 2^67800564 is an apocalyptic number.

It is an amenable number.

67800564 is an abundant number, since it is smaller than the sum of its proper divisors (123089520).

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

67800564 is a wasteful number, since it uses less digits than its factorization.

67800564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16126 (or 16115 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 67800564 is about 8234.1097879492. The cubic root of 67800564 is about 407.7660856411.

The spelling of 67800564 in words is "sixty-seven million, eight hundred thousand, five hundred sixty-four".