82904736 has 96 divisors (see below), whose sum is σ = 228191040. Its totient is φ = 26320896.

The previous prime is 82904729. The next prime is 82904741. The reversal of 82904736 is 63740928.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×82904736³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82904694 and 82904703.

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, 269895 + ... + 270201.

It is an arithmetic number, because the mean of its divisors is an integer number (2376990).

Almost surely, 2^82904736 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 82904736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114095520).

82904736 is an abundant number, since it is smaller than the sum of its proper divisors (145286304).

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

82904736 is a wasteful number, since it uses less digits than its factorization.

82904736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 82904736 is about 9105.2037868463. The cubic root of 82904736 is about 436.0401163885.

The spelling of 82904736 in words is "eighty-two million, nine hundred four thousand, seven hundred thirty-six".