82970624 has 96 divisors (see below), whose sum is σ = 188697600. Its totient is φ = 36126720.

The previous prime is 82970621. The next prime is 82970639. The reversal of 82970624 is 42607928.

It is not an unprimeable number, because it can be changed into a prime (82970621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 653249 + ... + 653375.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^82970624 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 82970624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

82970624 is an abundant number, since it is smaller than the sum of its proper divisors (105726976).

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

82970624 is a wasteful number, since it uses less digits than its factorization.

82970624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 82970624 is about 9108.8212190162. The cubic root of 82970624 is about 436.1555991501.

The spelling of 82970624 in words is "eighty-two million, nine hundred seventy thousand, six hundred twenty-four".