90660480 has 128 divisors (see below), whose sum is σ = 301691520. Its totient is φ = 23113728.

The previous prime is 90660463. The next prime is 90660491. The reversal of 90660480 is 8406609.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 43134 + ... + 45186.

It is an arithmetic number, because the mean of its divisors is an integer number (2356965).

Almost surely, 2^90660480 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 90660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150845760).

90660480 is an abundant number, since it is smaller than the sum of its proper divisors (211031040).

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

90660480 is a wasteful number, since it uses less digits than its factorization.

90660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 90660480 is about 9521.5797008690. The cubic root of 90660480 is about 449.2340550496.

The spelling of 90660480 in words is "ninety million, six hundred sixty thousand, four hundred eighty".