82167008 has 48 divisors (see below), whose sum is σ = 201688704. Its totient is φ = 32012160.

The previous prime is 82166989. The next prime is 82167037. The reversal of 82167008 is 80076128.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 14210 + ... + 19137.

It is an arithmetic number, because the mean of its divisors is an integer number (4201848).

Almost surely, 2^82167008 is an apocalyptic number.

82167008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82167008 is an abundant number, since it is smaller than the sum of its proper divisors (119521696).

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

82167008 is a wasteful number, since it uses less digits than its factorization.

82167008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33375 (or 33367 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 82167008 is about 9064.6019217614. The cubic root of 82167008 is about 434.7428929427.

The spelling of 82167008 in words is "eighty-two million, one hundred sixty-seven thousand, eight".