92582000640 has 288 divisors, whose sum is σ = 325414908000. Its totient is φ = 24339087360.

The previous prime is 92582000603. The next prime is 92582000659. The reversal of 92582000640 is 4600028529.

It is a happy number.

92582000640 is a `hidden beast` number, since 9 + 2 + 5 + 8 + 2 + 0 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 92582000595 and 92582000604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6536286 + ... + 6550434.

It is an arithmetic number, because the mean of its divisors is an integer number (1129912875).

Almost surely, 2^92582000640 is an apocalyptic number.

92582000640 is a gapful number since it is divisible by the number (90) 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 92582000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162707454000).

92582000640 is an abundant number, since it is smaller than the sum of its proper divisors (232832907360).

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

92582000640 is a wasteful number, since it uses less digits than its factorization.

92582000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14253 (or 14230 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 92582000640 in words is "ninety-two billion, five hundred eighty-two million, six hundred forty", and thus it is an aban number.