82960920 has 144 divisors (see below), whose sum is σ = 313709760. Its totient is φ = 18958464.

The previous prime is 82960883. The next prime is 82960949. The reversal of 82960920 is 2906928.

82960920 is a `hidden beast` number, since 8 + 29 + 609 + 20 = 666.

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 35 ways as a sum of consecutive naturals, for example, 15289 + ... + 19991.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540).

Almost surely, 2^82960920 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 82960920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

82960920 is an abundant number, since it is smaller than the sum of its proper divisors (230748840).

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

82960920 is a wasteful number, since it uses less digits than its factorization.

82960920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4734 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 82960920 is about 9108.2885329792. The cubic root of 82960920 is about 436.1385946621.

The spelling of 82960920 in words is "eighty-two million, nine hundred sixty thousand, nine hundred twenty".