82092660 has 192 divisors, whose sum is σ = 270273024. Its totient is φ = 18432000.

The previous prime is 82092617. The next prime is 82092671. The reversal of 82092660 is 6629028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 543585 + ... + 543735.

It is an arithmetic number, because the mean of its divisors is an integer number (1407672).

Almost surely, 2^82092660 is an apocalyptic number.

It is a pronic number, being equal to 9060×9061.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82092660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135136512).

82092660 is an abundant number, since it is smaller than the sum of its proper divisors (188180364).

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

82092660 is a wasteful number, since it uses less digits than its factorization.

82092660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 82092660 is about 9060.4999862039. The cubic root of 82092660 is about 434.6117291130.

The spelling of 82092660 in words is "eighty-two million, ninety-two thousand, six hundred sixty".