90998392320 has 960 divisors, whose sum is σ = 365668452864. Its totient is φ = 20696924160.

The previous prime is 90998392301. The next prime is 90998392339. The reversal of 90998392320 is 2329389909.

It is an interprime number because it is at equal distance from previous prime (90998392301) and next prime (90998392339).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×90998392320³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 390550924 + ... + 390551156.

Almost surely, 2^90998392320 is an apocalyptic number.

90998392320 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 90998392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182834226432).

90998392320 is an abundant number, since it is smaller than the sum of its proper divisors (274670060544).

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

90998392320 is a wasteful number, since it uses less digits than its factorization.

90998392320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 90998392320 in words is "ninety billion, nine hundred ninety-eight million, three hundred ninety-two thousand, three hundred twenty".