92832480 has 480 divisors, whose sum is σ = 384199200. Its totient is φ = 20901888.

The previous prime is 92832469. The next prime is 92832497. The reversal of 92832480 is 8423829.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3201106 + ... + 3201134.

It is an arithmetic number, because the mean of its divisors is an integer number (800415).

Almost surely, 2^92832480 is an apocalyptic number.

92832480 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 92832480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192099600).

92832480 is an abundant number, since it is smaller than the sum of its proper divisors (291366720).

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

92832480 is a wasteful number, since it uses less digits than its factorization.

92832480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 92832480 is about 9634.9613387911. The cubic root of 92832480 is about 452.7932919466.

It can be divided in two parts, 9 and 2832480, that added together give a square (2832489 = 1683²).

The spelling of 92832480 in words is "ninety-two million, eight hundred thirty-two thousand, four hundred eighty".