90310080 has 224 divisors, whose sum is σ = 333573120. Its totient is φ = 20275200.

The previous prime is 90310027. The next prime is 90310109. The reversal of 90310080 is 8001309.

90310080 is a nontrivial binomial coefficient, being equal to C(13440, 2).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 598005 + ... + 598155.

Almost surely, 2^90310080 is an apocalyptic number.

90310080 is the 13439-th triangular number and also the 6720-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166786560).

90310080 is an abundant number, since it is smaller than the sum of its proper divisors (243263040).

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

90310080 is a wasteful number, since it uses less digits than its factorization.

90310080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 90310080 is about 9503.1615791798. The cubic root of 90310080 is about 448.6545491594.

Adding to 90310080 its reverse (8001309), we get a palindrome (98311389).

The spelling of 90310080 in words is "ninety million, three hundred ten thousand, eighty".