92961120 has 192 divisors, whose sum is σ = 340139520. Its totient is φ = 20901888.

The previous prime is 92961119. The next prime is 92961149. The reversal of 92961120 is 2116929.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245091 + ... + 245469.

It is an arithmetic number, because the mean of its divisors is an integer number (1771560).

Almost surely, 2^92961120 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 92961120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170069760).

92961120 is an abundant number, since it is smaller than the sum of its proper divisors (247178400).

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

92961120 is a wasteful number, since it uses less digits than its factorization.

92961120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 92961120 is about 9641.6347161672. The cubic root of 92961120 is about 453.0023439396.

The spelling of 92961120 in words is "ninety-two million, nine hundred sixty-one thousand, one hundred twenty".