82083960 has 96 divisors (see below), whose sum is σ = 304892640. Its totient is φ = 18761472.

The previous prime is 82083959. The next prime is 82083977. The reversal of 82083960 is 6938028.

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, 13767 + ... + 18806.

It is an arithmetic number, because the mean of its divisors is an integer number (3175965).

Almost surely, 2^82083960 is an apocalyptic number.

It is an amenable number.

82083960 is an abundant number, since it is smaller than the sum of its proper divisors (222808680).

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

82083960 is a wasteful number, since it uses less digits than its factorization.

82083960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32597 (or 32590 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 82083960 is about 9060.0198675279. The cubic root of 82083960 is about 434.5963755047.

The spelling of 82083960 in words is "eighty-two million, eighty-three thousand, nine hundred sixty".