82955664 has 225 divisors, whose sum is σ = 275882299. Its totient is φ = 24045120.

The previous prime is 82955657. The next prime is 82955671. The reversal of 82955664 is 46655928.

The square root of 82955664 is 9108.

It is a perfect power (a square), and thus also a powerful number.

82955664 is a `hidden beast` number, since 82 + 9 + 5 + 566 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (82955657) and next prime (82955671).

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 3606757 + ... + 3606779.

Almost surely, 2^82955664 is an apocalyptic number.

82955664 is the 9108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82955664

82955664 is an abundant number, since it is smaller than the sum of its proper divisors (192926635).

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

82955664 is a wasteful number, since it uses less digits than its factorization.

82955664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 39 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The cubic root of 82955664 is about 436.1293839282.

Multiplying 82955664 by its product of digits (518400), we get a square (43004216217600 = 6557760²).

The spelling of 82955664 in words is "eighty-two million, nine hundred fifty-five thousand, six hundred sixty-four".