90981120 has 288 divisors, whose sum is σ = 323769600. Its totient is φ = 21676032.

The previous prime is 90981119. The next prime is 90981151. The reversal of 90981120 is 2118909.

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

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, 2115819 + ... + 2115861.

It is an arithmetic number, because the mean of its divisors is an integer number (1124200).

Almost surely, 2^90981120 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 90981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161884800).

90981120 is an abundant number, since it is smaller than the sum of its proper divisors (232788480).

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

90981120 is a wasteful number, since it uses less digits than its factorization.

90981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 90981120 is about 9538.4023819506. The cubic root of 90981120 is about 449.7630357334.

The spelling of 90981120 in words is "ninety million, nine hundred eighty-one thousand, one hundred twenty".