82192860 has 96 divisors (see below), whose sum is σ = 269203200. Its totient is φ = 20761920.

The previous prime is 82192843. The next prime is 82192897. The reversal of 82192860 is 6829128.

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

It is a congruent number.

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, 6255 + ... + 14265.

It is an arithmetic number, because the mean of its divisors is an integer number (2804200).

Almost surely, 2^82192860 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 82192860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134601600).

82192860 is an abundant number, since it is smaller than the sum of its proper divisors (187010340).

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

82192860 is a wasteful number, since it uses less digits than its factorization.

82192860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8048 (or 8040 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 82192860 is about 9066.0277961189. The cubic root of 82192860 is about 434.7884821844.

The spelling of 82192860 in words is "eighty-two million, one hundred ninety-two thousand, eight hundred sixty".