82124580 has 96 divisors (see below), whose sum is σ = 241274880. Its totient is φ = 20845440.

The previous prime is 82124579. The next prime is 82124591. The reversal of 82124580 is 8542128.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 124291 + ... + 124949.

It is an arithmetic number, because the mean of its divisors is an integer number (2513280).

Almost surely, 2^82124580 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 82124580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120637440).

82124580 is an abundant number, since it is smaller than the sum of its proper divisors (159150300).

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

82124580 is a wasteful number, since it uses less digits than its factorization.

82124580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 82124580 is about 9062.2613072014. The cubic root of 82124580 is about 434.6680516828.

The spelling of 82124580 in words is "eighty-two million, one hundred twenty-four thousand, five hundred eighty".