98265600 has 180 divisors, whose sum is σ = 352077726. Its totient is φ = 26173440.

The previous prime is 98265553. The next prime is 98265611. The reversal of 98265600 is 656289.

98265600 is a `hidden beast` number, since 98 + 2 + 6 + 560 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 47114496 + 51151104 = 6864^2 + 7152^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×98265600² = 19312256286720000, 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 17 ways as a sum of consecutive naturals, for example, 114774 + ... + 115626.

Almost surely, 2^98265600 is an apocalyptic number.

98265600 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 98265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176038863).

98265600 is an abundant number, since it is smaller than the sum of its proper divisors (253812126).

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

98265600 is a wasteful number, since it uses less digits than its factorization.

98265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 98265600 is about 9912.9006854704. The cubic root of 98265600 is about 461.4597609399.

The spelling of 98265600 in words is "ninety-eight million, two hundred sixty-five thousand, six hundred".