82320192 has 56 divisors (see below), whose sum is σ = 242011200. Its totient is φ = 27439488.

The previous prime is 82320181. The next prime is 82320209. The reversal of 82320192 is 29102328.

It is a happy number.

82320192 is nontrivially palindromic in base 14.

It is a super-2 number, since 2×82320192² = 13553228021833728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 22092 + ... + 25547.

Almost surely, 2^82320192 is an apocalyptic number.

It is an amenable number.

82320192 is an abundant number, since it is smaller than the sum of its proper divisors (159691008).

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

82320192 is a wasteful number, since it uses less digits than its factorization.

82320192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47660 (or 47644 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 82320192 is about 9073.0475585660. The cubic root of 82320192 is about 435.0128890355.

The spelling of 82320192 in words is "eighty-two million, three hundred twenty thousand, one hundred ninety-two".