90940320 has 144 divisors (see below), whose sum is σ = 321965280. Its totient is φ = 24240384.

The previous prime is 90940307. The next prime is 90940357. The reversal of 90940320 is 2304909.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37711 + ... + 40049.

It is an arithmetic number, because the mean of its divisors is an integer number (2235870).

Almost surely, 2^90940320 is an apocalyptic number.

90940320 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 90940320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160982640).

90940320 is an abundant number, since it is smaller than the sum of its proper divisors (231024960).

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

90940320 is a wasteful number, since it uses less digits than its factorization.

90940320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 90940320 is about 9536.2634191805. The cubic root of 90940320 is about 449.6957943996.

The spelling of 90940320 in words is "ninety million, nine hundred forty thousand, three hundred twenty".