82190592 has 288 divisors, whose sum is σ = 282562560. Its totient is φ = 23316480.

The previous prime is 82190551. The next prime is 82190617. The reversal of 82190592 is 29509128.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1748713 + ... + 1748759.

It is an arithmetic number, because the mean of its divisors is an integer number (981120).

Almost surely, 2^82190592 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 82190592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141281280).

82190592 is an abundant number, since it is smaller than the sum of its proper divisors (200371968).

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

82190592 is a wasteful number, since it uses less digits than its factorization.

82190592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 82190592 is about 9065.9027129128. The cubic root of 82190592 is about 434.7844830157.

The spelling of 82190592 in words is "eighty-two million, one hundred ninety thousand, five hundred ninety-two".