98685600 has 144 divisors (see below), whose sum is σ = 346040352. Its totient is φ = 24284160.

The previous prime is 98685593. The next prime is 98685607. The reversal of 98685600 is 658689.

It is an interprime number because it is at equal distance from previous prime (98685593) and next prime (98685607).

It is not an unprimeable number, because it can be changed into a prime (98685607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29619 + ... + 32781.

It is an arithmetic number, because the mean of its divisors is an integer number (2403058).

Almost surely, 2^98685600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98685600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173020176).

98685600 is an abundant number, since it is smaller than the sum of its proper divisors (247354752).

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

98685600 is a wasteful number, since it uses less digits than its factorization.

98685600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3199 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 98685600 is about 9934.0626130501. The cubic root of 98685600 is about 462.1162729031.

The spelling of 98685600 in words is "ninety-eight million, six hundred eighty-five thousand, six hundred".