92088480 has 192 divisors, whose sum is σ = 321366528. Its totient is φ = 21980160.

The previous prime is 92088461. The next prime is 92088487. The reversal of 92088480 is 8488029.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (92088487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 564879 + ... + 565041.

It is an arithmetic number, because the mean of its divisors is an integer number (1673784).

Almost surely, 2^92088480 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 92088480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160683264).

92088480 is an abundant number, since it is smaller than the sum of its proper divisors (229278048).

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

92088480 is a wasteful number, since it uses less digits than its factorization.

92088480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 92088480 is about 9596.2742770306. The cubic root of 92088480 is about 451.5804183173.

The spelling of 92088480 in words is "ninety-two million, eighty-eight thousand, four hundred eighty".