82906592 has 48 divisors (see below), whose sum is σ = 173048400. Its totient is φ = 39029760.

The previous prime is 82906591. The next prime is 82906597. The reversal of 82906592 is 29560928.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82906591) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36959 + ... + 39137.

It is an arithmetic number, because the mean of its divisors is an integer number (3605175).

Almost surely, 2^82906592 is an apocalyptic number.

82906592 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82906592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86524200).

82906592 is an abundant number, since it is smaller than the sum of its proper divisors (90141808).

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

82906592 is a wasteful number, since it uses less digits than its factorization.

82906592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 82906592 is about 9105.3057060156. The cubic root of 82906592 is about 436.0433702613.

The spelling of 82906592 in words is "eighty-two million, nine hundred six thousand, five hundred ninety-two".