98806400 has 192 divisors, whose sum is σ = 305069760. Its totient is φ = 30720000.

The previous prime is 98806399. The next prime is 98806417. The reversal of 98806400 is 460889.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246200 + ... + 246600.

It is an arithmetic number, because the mean of its divisors is an integer number (1588905).

Almost surely, 2^98806400 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 98806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152534880).

98806400 is an abundant number, since it is smaller than the sum of its proper divisors (206263360).

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

98806400 is a wasteful number, since it uses less digits than its factorization.

98806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 98806400 is about 9940.1408440726. The cubic root of 98806400 is about 462.3047532336.

The spelling of 98806400 in words is "ninety-eight million, eight hundred six thousand, four hundred".