98017920 has 768 divisors, whose sum is σ = 481178880. Its totient is φ = 17694720.

The previous prime is 98017901. The next prime is 98017943. The reversal of 98017920 is 2971089.

It is a happy number.

It is a super-2 number, since 2×98017920² = 19215025282252800, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 5765752 + ... + 5765768.

It is an arithmetic number, because the mean of its divisors is an integer number (626535).

Almost surely, 2^98017920 is an apocalyptic number.

98017920 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 98017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240589440).

98017920 is an abundant number, since it is smaller than the sum of its proper divisors (383160960).

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

98017920 is a wasteful number, since it uses less digits than its factorization.

98017920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 98017920 is about 9900.3999919195. The cubic root of 98017920 is about 461.0717292001.

The spelling of 98017920 in words is "ninety-eight million, seventeen thousand, nine hundred twenty".