82974600 has 144 divisors (see below), whose sum is σ = 287838720. Its totient is φ = 21398400.

The previous prime is 82974517. The next prime is 82974641. The reversal of 82974600 is 647928.

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

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, 55057 + ... + 56543.

It is an arithmetic number, because the mean of its divisors is an integer number (1998880).

Almost surely, 2^82974600 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 82974600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143919360).

82974600 is an abundant number, since it is smaller than the sum of its proper divisors (204864120).

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

82974600 is a wasteful number, since it uses less digits than its factorization.

82974600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 82974600 is about 9109.0394663762. The cubic root of 82974600 is about 436.1625659812.

The spelling of 82974600 in words is "eighty-two million, nine hundred seventy-four thousand, six hundred".