92088640 has 112 divisors (see below), whose sum is σ = 256032000. Its totient is φ = 31535616.

The previous prime is 92088593. The next prime is 92088691. The reversal of 92088640 is 4688029.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 92088640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109341 + ... + 110179.

It is an arithmetic number, because the mean of its divisors is an integer number (2286000).

Almost surely, 2^92088640 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 92088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128016000).

92088640 is an abundant number, since it is smaller than the sum of its proper divisors (163943360).

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

92088640 is an equidigital number, since it uses as much as digits as its factorization.

92088640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 92088640 is about 9596.2826135957. The cubic root of 92088640 is about 451.5806798514.

The spelling of 92088640 in words is "ninety-two million, eighty-eight thousand, six hundred forty".