92149920 has 192 divisors, whose sum is σ = 327680640. Its totient is φ = 24182784.

The previous prime is 92149913. The next prime is 92149921. The reversal of 92149920 is 2994129.

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

It is not an unprimeable number, because it can be changed into a prime (92149921) 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, 358432 + ... + 358688.

It is an arithmetic number, because the mean of its divisors is an integer number (1706670).

Almost surely, 2^92149920 is an apocalyptic number.

92149920 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 92149920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163840320).

92149920 is an abundant number, since it is smaller than the sum of its proper divisors (235530720).

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

92149920 is a wasteful number, since it uses less digits than its factorization.

92149920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 92149920 is about 9599.4749856437. The cubic root of 92149920 is about 451.6808251320.

The spelling of 92149920 in words is "ninety-two million, one hundred forty-nine thousand, nine hundred twenty".