98565120 has 352 divisors, whose sum is σ = 377303040. Its totient is φ = 24330240.

The previous prime is 98565109. The next prime is 98565149. The reversal of 98565120 is 2156589.

It is a happy number.

98565120 is a `hidden beast` number, since 98 + 56 + 512 + 0 = 666.

It is a super-2 number, since 2×98565120² = 19430165761228800, which contains 22 as substring.

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

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, 3179505 + ... + 3179535.

Almost surely, 2^98565120 is an apocalyptic number.

98565120 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 98565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188651520).

98565120 is an abundant number, since it is smaller than the sum of its proper divisors (278737920).

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

98565120 is a wasteful number, since it uses less digits than its factorization.

98565120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 98565120 is about 9927.9967767924. The cubic root of 98565120 is about 461.9281385953.

The spelling of 98565120 in words is "ninety-eight million, five hundred sixty-five thousand, one hundred twenty".