82415664 has 80 divisors (see below), whose sum is σ = 239984640. Its totient is φ = 27074880.

The previous prime is 82415659. The next prime is 82415747. The reversal of 82415664 is 46651428.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 29329 + ... + 32015.

It is an arithmetic number, because the mean of its divisors is an integer number (2999808).

Almost surely, 2^82415664 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 82415664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

82415664 is an abundant number, since it is smaller than the sum of its proper divisors (157568976).

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

82415664 is a wasteful number, since it uses less digits than its factorization.

82415664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775 (or 2763 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 82415664 is about 9078.3073312154. The cubic root of 82415664 is about 435.1809948358.

The spelling of 82415664 in words is "eighty-two million, four hundred fifteen thousand, six hundred sixty-four".