92880960 has 112 divisors (see below), whose sum is σ = 304507392. Its totient is φ = 23961600.

The previous prime is 92880941. The next prime is 92880967. The reversal of 92880960 is 6908829.

It is not an unprimeable number, because it can be changed into a prime (92880967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28200 + ... + 31320.

It is an arithmetic number, because the mean of its divisors is an integer number (2718816).

Almost surely, 2^92880960 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 92880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152253696).

92880960 is an abundant number, since it is smaller than the sum of its proper divisors (211626432).

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

92880960 is a wasteful number, since it uses less digits than its factorization.

92880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172 (or 3162 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 92880960 is about 9637.4768482212. The cubic root of 92880960 is about 452.8720991294.

The spelling of 92880960 in words is "ninety-two million, eight hundred eighty thousand, nine hundred sixty".