82806464 has 28 divisors (see below), whose sum is σ = 176960784. Its totient is φ = 38217984.

The previous prime is 82806443. The next prime is 82806469. The reversal of 82806464 is 46460828.

It is a happy number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (82806469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48932 + ... + 50595.

It is an arithmetic number, because the mean of its divisors is an integer number (6320028).

Almost surely, 2^82806464 is an apocalyptic number.

It is an amenable number.

82806464 is an abundant number, since it is smaller than the sum of its proper divisors (94154320).

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

82806464 is a wasteful number, since it uses less digits than its factorization.

82806464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99552 (or 99542 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 82806464 is about 9099.8057122117. The cubic root of 82806464 is about 435.8677600244.

The spelling of 82806464 in words is "eighty-two million, eight hundred six thousand, four hundred sixty-four".