92085120 has 192 divisors, whose sum is σ = 330663600. Its totient is φ = 24219648.

The previous prime is 92085109. The next prime is 92085127. The reversal of 92085120 is 2158029.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92085127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1261404 + ... + 1261476.

Almost surely, 2^92085120 is an apocalyptic number.

92085120 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 92085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165331800).

92085120 is an abundant number, since it is smaller than the sum of its proper divisors (238578480).

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

92085120 is an equidigital number, since it uses as much as digits as its factorization.

92085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 83 counting only the distinct ones).

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

The square root of 92085120 is about 9596.0992074905. The cubic root of 92085120 is about 451.5749260319.

The spelling of 92085120 in words is "ninety-two million, eighty-five thousand, one hundred twenty".