82624660 has 24 divisors (see below), whose sum is σ = 173736360. Its totient is φ = 33007104.

The previous prime is 82624631. The next prime is 82624687. The reversal of 82624660 is 6642628.

It can be written as a sum of positive squares in 4 ways, for example, as 3556996 + 79067664 = 1886^2 + 8892^2 .

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 7 ways as a sum of consecutive naturals, for example, 16536 + ... + 20944.

It is an arithmetic number, because the mean of its divisors is an integer number (7239015).

Almost surely, 2^82624660 is an apocalyptic number.

It is an amenable number.

82624660 is an abundant number, since it is smaller than the sum of its proper divisors (91111700).

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

82624660 is a wasteful number, since it uses less digits than its factorization.

82624660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355 (or 5353 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 82624660 is about 9089.8107791087. The cubic root of 82624660 is about 435.5485395097.

The spelling of 82624660 in words is "eighty-two million, six hundred twenty-four thousand, six hundred sixty".