82474056 has 144 divisors (see below), whose sum is σ = 263603340. Its totient is φ = 23224320.

The previous prime is 82474039. The next prime is 82474061. The reversal of 82474056 is 65047428.

82474056 is a `hidden beast` number, since 8 + 247 + 405 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81540900 + 933156 = 9030^2 + 966^2 .

It is a super-2 number, since 2×82474056² = 13603939826182272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 82474056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 342096 + ... + 342336.

Almost surely, 2^82474056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82474056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131801670).

82474056 is an abundant number, since it is smaller than the sum of its proper divisors (181129284).

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

82474056 is a wasteful number, since it uses less digits than its factorization.

82474056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 82474056 is about 9081.5227797986. The cubic root of 82474056 is about 435.2837467015.

The spelling of 82474056 in words is "eighty-two million, four hundred seventy-four thousand, fifty-six".