90381120 has 112 divisors (see below), whose sum is σ = 296314368. Its totient is φ = 23316480.

The previous prime is 90381103. The next prime is 90381167. The reversal of 90381120 is 2118309.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28242 + ... + 31278.

It is an arithmetic number, because the mean of its divisors is an integer number (2645664).

Almost surely, 2^90381120 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 90381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148157184).

90381120 is an abundant number, since it is smaller than the sum of its proper divisors (205933248).

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

90381120 is a wasteful number, since it uses less digits than its factorization.

90381120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 90381120 is about 9506.8985478967. The cubic root of 90381120 is about 448.7721590121.

Adding to 90381120 its reverse (2118309), we get a palindrome (92499429).

The spelling of 90381120 in words is "ninety million, three hundred eighty-one thousand, one hundred twenty".