98392320 has 360 divisors, whose sum is σ = 384341496. Its totient is φ = 23887872.

The previous prime is 98392319. The next prime is 98392337. The reversal of 98392320 is 2329389.

It can be written as a sum of positive squares in 4 ways, for example, as 2509056 + 95883264 = 1584^2 + 9792^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1347804 + ... + 1347876.

Almost surely, 2^98392320 is an apocalyptic number.

98392320 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 98392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192170748).

98392320 is an abundant number, since it is smaller than the sum of its proper divisors (285949176).

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

98392320 is a wasteful number, since it uses less digits than its factorization.

98392320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 98392320 is about 9919.2902971936. The cubic root of 98392320 is about 461.6580367102.

The spelling of 98392320 in words is "ninety-eight million, three hundred ninety-two thousand, three hundred twenty".