82676124 has 72 divisors (see below), whose sum is σ = 214451328. Its totient is φ = 26848800.

The previous prime is 82676029. The next prime is 82676147. The reversal of 82676124 is 42167628.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364099 + ... + 364325.

Almost surely, 2^82676124 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 82676124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107225664).

82676124 is an abundant number, since it is smaller than the sum of its proper divisors (131775204).

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

82676124 is a wasteful number, since it uses less digits than its factorization.

82676124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 450 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 82676124 is about 9092.6412004434. The cubic root of 82676124 is about 435.6389500393.

The spelling of 82676124 in words is "eighty-two million, six hundred seventy-six thousand, one hundred twenty-four".