82415856 has 80 divisors (see below), whose sum is σ = 222430208. Its totient is φ = 26265600.

The previous prime is 82415849. The next prime is 82415857. The reversal of 82415856 is 65851428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82415857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144051 + ... + 144621.

Almost surely, 2^82415856 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 82415856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111215104).

82415856 is an abundant number, since it is smaller than the sum of its proper divisors (140014352).

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

82415856 is a wasteful number, since it uses less digits than its factorization.

82415856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 704 counting only the distinct ones).

The product of its digits is 76800, while the sum is 39.

The square root of 82415856 is about 9078.3179058678. The cubic root of 82415856 is about 435.1813327759.

The spelling of 82415856 in words is "eighty-two million, four hundred fifteen thousand, eight hundred fifty-six".