90484320 has 96 divisors (see below), whose sum is σ = 287400960. Its totient is φ = 23928320.

The previous prime is 90484313. The next prime is 90484333. The reversal of 90484320 is 2348409.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 62161 + ... + 63599.

It is an arithmetic number, because the mean of its divisors is an integer number (2993760).

Almost surely, 2^90484320 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 90484320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143700480).

90484320 is an abundant number, since it is smaller than the sum of its proper divisors (196916640).

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

90484320 is a wasteful number, since it uses less digits than its factorization.

90484320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 90484320 is about 9512.3246370170. The cubic root of 90484320 is about 448.9429014218.

The spelling of 90484320 in words is "ninety million, four hundred eighty-four thousand, three hundred twenty".