98560800 has 378 divisors, whose sum is σ = 390637107. Its totient is φ = 24261120.

The previous prime is 98560789. The next prime is 98560823. The reversal of 98560800 is 806589.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

98560800 is a `hidden beast` number, since 98 + 560 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 6170256 + 92390544 = 2484^2 + 9612^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7020.

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 62 ways as a sum of consecutive naturals, for example, 7581594 + ... + 7581606.

Almost surely, 2^98560800 is an apocalyptic number.

98560800 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 98560800

98560800 is an abundant number, since it is smaller than the sum of its proper divisors (292076307).

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

98560800 is a wasteful number, since it uses less digits than its factorization.

98560800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 98560800 is about 9927.7792078591. The cubic root of 98560800 is about 461.9213898972.

The spelling of 98560800 in words is "ninety-eight million, five hundred sixty thousand, eight hundred".