82524560 has 40 divisors (see below), whose sum is σ = 192501816. Its totient is φ = 32901120.

The previous prime is 82524557. The next prime is 82524577. The reversal of 82524560 is 6542528.

It can be written as a sum of positive squares in 4 ways, for example, as 18011536 + 64513024 = 4244^2 + 8032^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 25430 + ... + 28490.

Almost surely, 2^82524560 is an apocalyptic number.

82524560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82524560 is an abundant number, since it is smaller than the sum of its proper divisors (109977256).

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

82524560 is a wasteful number, since it uses less digits than its factorization.

82524560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 82524560 is about 9084.3029451907. The cubic root of 82524560 is about 435.3725790189.

The spelling of 82524560 in words is "eighty-two million, five hundred twenty-four thousand, five hundred sixty".