90087480 has 144 divisors (see below), whose sum is σ = 340652520. Its totient is φ = 20587392.

The previous prime is 90087469. The next prime is 90087511. The reversal of 90087480 is 8478009.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15087 + ... + 20193.

Almost surely, 2^90087480 is an apocalyptic number.

90087480 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 90087480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170326260).

90087480 is an abundant number, since it is smaller than the sum of its proper divisors (250565040).

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

90087480 is a wasteful number, since it uses less digits than its factorization.

90087480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5138 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 90087480 is about 9491.4424615018. The cubic root of 90087480 is about 448.2856251509.

The spelling of 90087480 in words is "ninety million, eighty-seven thousand, four hundred eighty".