98572800 has 240 divisors, whose sum is σ = 347067072. Its totient is φ = 24576000.

The previous prime is 98572763. The next prime is 98572801. The reversal of 98572800 is 827589.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (98572801) 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, 652725 + ... + 652875.

Almost surely, 2^98572800 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 98572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173533536).

98572800 is an abundant number, since it is smaller than the sum of its proper divisors (248494272).

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

98572800 is a wasteful number, since it uses less digits than its factorization.

98572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 98572800 is about 9928.3835542348. The cubic root of 98572800 is about 461.9401357939.

The spelling of 98572800 in words is "ninety-eight million, five hundred seventy-two thousand, eight hundred".