82408192 has 36 divisors (see below), whose sum is σ = 165081616. Its totient is φ = 41057280.

The previous prime is 82408181. The next prime is 82408211. The reversal of 82408192 is 29180428.

It is a super-2 number, since 2×82408192² = 13582220217417728, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124342 + ... + 125002.

Almost surely, 2^82408192 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 82408192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82540808).

82408192 is an abundant number, since it is smaller than the sum of its proper divisors (82673424).

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

82408192 is an equidigital number, since it uses as much as digits as its factorization.

82408192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 82408192 is about 9077.8957914266. The cubic root of 82408192 is about 435.1678429238.

The spelling of 82408192 in words is "eighty-two million, four hundred eight thousand, one hundred ninety-two".