92249120 has 48 divisors (see below), whose sum is σ = 218671488. Its totient is φ = 36775680.

The previous prime is 92249119. The next prime is 92249167. The reversal of 92249120 is 2194229.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57935 + ... + 59505.

It is an arithmetic number, because the mean of its divisors is an integer number (4555656).

Almost surely, 2^92249120 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 92249120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109335744).

92249120 is an abundant number, since it is smaller than the sum of its proper divisors (126422368).

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

92249120 is a wasteful number, since it uses less digits than its factorization.

92249120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 92249120 is about 9604.6405450699. The cubic root of 92249120 is about 451.8428461415.

The spelling of 92249120 in words is "ninety-two million, two hundred forty-nine thousand, one hundred twenty".