98656800 has 288 divisors, whose sum is σ = 363351744. Its totient is φ = 23040000.

The previous prime is 98656781. The next prime is 98656819. The reversal of 98656800 is 865689.

It is an interprime number because it is at equal distance from previous prime (98656781) and next prime (98656819).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 976750 + ... + 976850.

It is an arithmetic number, because the mean of its divisors is an integer number (1261638).

Almost surely, 2^98656800 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 98656800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181675872).

98656800 is an abundant number, since it is smaller than the sum of its proper divisors (264694944).

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

98656800 is a wasteful number, since it uses less digits than its factorization.

98656800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 159 counting only the distinct ones).

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

The square root of 98656800 is about 9932.6129492697. The cubic root of 98656800 is about 462.0713144912.

The spelling of 98656800 in words is "ninety-eight million, six hundred fifty-six thousand, eight hundred".