82588992 has 56 divisors (see below), whose sum is σ = 231379776. Its totient is φ = 25909248.

The previous prime is 82588981. The next prime is 82588993. The reversal of 82588992 is 29988528.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82588993) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9388 + ... + 15915.

Almost surely, 2^82588992 is an apocalyptic number.

It is an amenable number.

82588992 is an abundant number, since it is smaller than the sum of its proper divisors (148790784).

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

82588992 is a wasteful number, since it uses less digits than its factorization.

82588992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25335 (or 25325 counting only the distinct ones).

The product of its digits is 829440, while the sum is 51.

The square root of 82588992 is about 9087.8485902880. The cubic root of 82588992 is about 435.4858569269.

The spelling of 82588992 in words is "eighty-two million, five hundred eighty-eight thousand, nine hundred ninety-two".