98634800 has 120 divisors (see below), whose sum is σ = 267773040. Its totient is φ = 34585600.

The previous prime is 98634791. The next prime is 98634803. The reversal of 98634800 is 843689.

It is not an unprimeable number, because it can be changed into a prime (98634803) 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, 127214 + ... + 127986.

It is an arithmetic number, because the mean of its divisors is an integer number (2231442).

Almost surely, 2^98634800 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 98634800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133886520).

98634800 is an abundant number, since it is smaller than the sum of its proper divisors (169138240).

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

98634800 is a wasteful number, since it uses less digits than its factorization.

98634800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 98634800 is about 9931.5054246574. The cubic root of 98634800 is about 462.0369653649.

The spelling of 98634800 in words is "ninety-eight million, six hundred thirty-four thousand, eight hundred".