82564464 has 40 divisors (see below), whose sum is σ = 219060880. Its totient is φ = 26777088.

The previous prime is 82564463. The next prime is 82564483. The reversal of 82564464 is 46446528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82564463) 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, 21469 + ... + 25020.

It is an arithmetic number, because the mean of its divisors is an integer number (5476522).

Almost surely, 2^82564464 is an apocalyptic number.

It is an amenable number.

82564464 is an abundant number, since it is smaller than the sum of its proper divisors (136496416).

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

82564464 is a wasteful number, since it uses less digits than its factorization.

82564464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46537 (or 46531 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 82564464 is about 9086.4989957629. The cubic root of 82564464 is about 435.4427411942.

It can be divided in two parts, 82564 and 464, that added together give a triangular number (83028 = T₄₀₇).

The spelling of 82564464 in words is "eighty-two million, five hundred sixty-four thousand, four hundred sixty-four".