82598016 has 64 divisors (see below), whose sum is σ = 230968800. Its totient is φ = 26081280.

The previous prime is 82597993. The next prime is 82598027. The reversal of 82598016 is 61089528.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1636 + ... + 12956.

Almost surely, 2^82598016 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 82598016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115484400).

82598016 is an abundant number, since it is smaller than the sum of its proper divisors (148370784).

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

82598016 is a wasteful number, since it uses less digits than its factorization.

82598016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11357 (or 11345 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 82598016 is about 9088.3450638716. The cubic root of 82598016 is about 435.5017173185.

The spelling of 82598016 in words is "eighty-two million, five hundred ninety-eight thousand, sixteen".