90990480 has 160 divisors (see below), whose sum is σ = 330478848. Its totient is φ = 20275200.

The previous prime is 90990479. The next prime is 90990503. The reversal of 90990480 is 8409909.

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 31 ways as a sum of consecutive naturals, for example, 68220 + ... + 69540.

Almost surely, 2^90990480 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 90990480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165239424).

90990480 is an abundant number, since it is smaller than the sum of its proper divisors (239488368).

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

90990480 is a wasteful number, since it uses less digits than its factorization.

90990480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 90990480 is about 9538.8930175362. The cubic root of 90990480 is about 449.7784588514.

The spelling of 90990480 in words is "ninety million, nine hundred ninety thousand, four hundred eighty".