75916564 has 24 divisors (see below), whose sum is σ = 136601640. Its totient is φ = 36900864.

The previous prime is 75916541. The next prime is 75916567. The reversal of 75916564 is 46561957.

It can be written as a sum of positive squares in 4 ways, for example, as 9363600 + 66552964 = 3060^2 + 8158^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 75916564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75916567) 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, 22372 + ... + 25540.

It is an arithmetic number, because the mean of its divisors is an integer number (5691735).

Almost surely, 2^75916564 is an apocalyptic number.

It is an amenable number.

75916564 is a deficient number, since it is larger than the sum of its proper divisors (60685076).

75916564 is a wasteful number, since it uses less digits than its factorization.

75916564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3339 (or 3337 counting only the distinct ones).

The product of its digits is 226800, while the sum is 43.

The square root of 75916564 is about 8713.0111901684. The cubic root of 75916564 is about 423.4272928164.

The spelling of 75916564 in words is "seventy-five million, nine hundred sixteen thousand, five hundred sixty-four".