90313080 has 256 divisors, whose sum is σ = 336268800. Its totient is φ = 19077120.

The previous prime is 90313073. The next prime is 90313087. The reversal of 90313080 is 8031309.

It is an interprime number because it is at equal distance from previous prime (90313073) and next prime (90313087).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 90313080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90313087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 325902 + ... + 326178.

It is an arithmetic number, because the mean of its divisors is an integer number (1313550).

Almost surely, 2^90313080 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 90313080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168134400).

90313080 is an abundant number, since it is smaller than the sum of its proper divisors (245955720).

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

90313080 is a wasteful number, since it uses less digits than its factorization.

90313080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 90313080 is about 9503.3194200763. The cubic root of 90313080 is about 448.6595170387.

Adding to 90313080 its reverse (8031309), we get a palindrome (98344389).

The spelling of 90313080 in words is "ninety million, three hundred thirteen thousand, eighty".