82952016 has 80 divisors (see below), whose sum is σ = 246079488. Its totient is φ = 23587200.

The previous prime is 82951997. The next prime is 82952033. The reversal of 82952016 is 61025928.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90601 + ... + 91511.

Almost surely, 2^82952016 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 82952016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123039744).

82952016 is an abundant number, since it is smaller than the sum of its proper divisors (163127472).

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

82952016 is a wasteful number, since it uses less digits than its factorization.

82952016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 82952016 is about 9107.7997342937. The cubic root of 82952016 is about 436.1229908614.

The spelling of 82952016 in words is "eighty-two million, nine hundred fifty-two thousand, sixteen".