82527168 has 56 divisors (see below), whose sum is σ = 224273872. Its totient is φ = 26763264.

The previous prime is 82527143. The next prime is 82527173. The reversal of 82527168 is 86172528.

82527168 is nontrivially palindromic in base 14.

It is a congruent number.

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, 1296 + ... + 12912.

Almost surely, 2^82527168 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 82527168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112136936).

82527168 is an abundant number, since it is smaller than the sum of its proper divisors (141746704).

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

82527168 is a wasteful number, since it uses less digits than its factorization.

82527168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11669 (or 11659 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 82527168 is about 9084.4464883668. The cubic root of 82527168 is about 435.3771652888.

The spelling of 82527168 in words is "eighty-two million, five hundred twenty-seven thousand, one hundred sixty-eight".