92152080 has 100 divisors (see below), whose sum is σ = 320080332. Its totient is φ = 24572160.

The previous prime is 92152063. The next prime is 92152117. The reversal of 92152080 is 8025129.

It can be written as a sum of positive squares in 2 ways, for example, as 48274704 + 43877376 = 6948^2 + 6624^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 631 + ... + 13590.

Almost surely, 2^92152080 is an apocalyptic number.

92152080 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 92152080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160040166).

92152080 is an abundant number, since it is smaller than the sum of its proper divisors (227928252).

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

92152080 is a wasteful number, since it uses less digits than its factorization.

92152080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14246 (or 14231 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 92152080 is about 9599.5874911373. The cubic root of 92152080 is about 451.6843542468.

It can be divided in two parts, 921520 and 80, that added together give a square (921600 = 960²).

The spelling of 92152080 in words is "ninety-two million, one hundred fifty-two thousand, eighty".