98896800 has 144 divisors (see below), whose sum is σ = 326229120. Its totient is φ = 26019840.

The previous prime is 98896793. The next prime is 98896807. The reversal of 98896800 is 869889.

It is an interprime number because it is at equal distance from previous prime (98896793) and next prime (98896807).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 98896800.

It is not an unprimeable number, because it can be changed into a prime (98896807) 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, 213369 + ... + 213831.

It is an arithmetic number, because the mean of its divisors is an integer number (2265480).

Almost surely, 2^98896800 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 98896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163114560).

98896800 is an abundant number, since it is smaller than the sum of its proper divisors (227332320).

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

98896800 is a wasteful number, since it uses less digits than its factorization.

98896800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The square root of 98896800 is about 9944.6870237328. The cubic root of 98896800 is about 462.4457009543.

The spelling of 98896800 in words is "ninety-eight million, eight hundred ninety-six thousand, eight hundred".