98520800 has 144 divisors (see below), whose sum is σ = 279794592. Its totient is φ = 33177600.

The previous prime is 98520791. The next prime is 98520803. The reversal of 98520800 is 802589.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98520803) 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, 408680 + ... + 408920.

It is an arithmetic number, because the mean of its divisors is an integer number (1943018).

Almost surely, 2^98520800 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 98520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139897296).

98520800 is an abundant number, since it is smaller than the sum of its proper divisors (181273792).

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

98520800 is a wasteful number, since it uses less digits than its factorization.

98520800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 98520800 is about 9925.7644541869. The cubic root of 98520800 is about 461.8588925834.

The spelling of 98520800 in words is "ninety-eight million, five hundred twenty thousand, eight hundred".