82092960 has 192 divisors, whose sum is σ = 297077760. Its totient is φ = 21150720.

The previous prime is 82092937. The next prime is 82092971. The reversal of 82092960 is 6929028.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133614 + ... + 134226.

It is an arithmetic number, because the mean of its divisors is an integer number (1547280).

Almost surely, 2^82092960 is an apocalyptic number.

82092960 is a gapful number since it is divisible by the number (80) 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 82092960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148538880).

82092960 is an abundant number, since it is smaller than the sum of its proper divisors (214984800).

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

82092960 is a wasteful number, since it uses less digits than its factorization.

82092960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 82092960 is about 9060.5165415665. The cubic root of 82092960 is about 434.6122585284.

The spelling of 82092960 in words is "eighty-two million, ninety-two thousand, nine hundred sixty".