67332564 has 36 divisors (see below), whose sum is σ = 183295476. Its totient is φ = 20717568.

The previous prime is 67332557. The next prime is 67332581. The reversal of 67332564 is 46523376.

67332564 is a `hidden beast` number, since 67 + 3 + 32 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4796100 + 62536464 = 2190^2 + 7908^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71469 + ... + 72404.

It is an arithmetic number, because the mean of its divisors is an integer number (5091541).

Almost surely, 2^67332564 is an apocalyptic number.

It is an amenable number.

67332564 is an abundant number, since it is smaller than the sum of its proper divisors (115962912).

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

67332564 is a wasteful number, since it uses less digits than its factorization.

67332564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143896 (or 143891 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 67332564 is about 8205.6422052147. The cubic root of 67332564 is about 406.8257035705.

It can be divided in two parts, 67332 and 564, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 67332564 in words is "sixty-seven million, three hundred thirty-two thousand, five hundred sixty-four".