92913120 has 144 divisors (see below), whose sum is σ = 320432112. Its totient is φ = 24514560.

The previous prime is 92913113. The next prime is 92913133. The reversal of 92913120 is 2131929.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162435 + ... + 163005.

It is an arithmetic number, because the mean of its divisors is an integer number (2225223).

Almost surely, 2^92913120 is an apocalyptic number.

92913120 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 92913120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160216056).

92913120 is an abundant number, since it is smaller than the sum of its proper divisors (227518992).

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

92913120 is a wasteful number, since it uses less digits than its factorization.

92913120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 92913120 is about 9639.1451903164. The cubic root of 92913120 is about 452.9243620333.

The spelling of 92913120 in words is "ninety-two million, nine hundred thirteen thousand, one hundred twenty".