82381968 has 40 divisors (see below), whose sum is σ = 236468000. Its totient is φ = 27460512.

The previous prime is 82381933. The next prime is 82382059. The reversal of 82381968 is 86918328.

It is a nude number because it is divisible by every one of its digits.

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, 94918 + ... + 95781.

It is an arithmetic number, because the mean of its divisors is an integer number (5911700).

Almost surely, 2^82381968 is an apocalyptic number.

It is an amenable number.

82381968 is an abundant number, since it is smaller than the sum of its proper divisors (154086032).

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

82381968 is a wasteful number, since it uses less digits than its factorization.

82381968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190716 (or 190704 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 82381968 is about 9076.4512889124. The cubic root of 82381968 is about 435.1216782083.

The spelling of 82381968 in words is "eighty-two million, three hundred eighty-one thousand, nine hundred sixty-eight".