98326800 has 360 divisors, whose sum is σ = 402974208. Its totient is φ = 21888000.

The previous prime is 98326783. The next prime is 98326801. The reversal of 98326800 is 862389.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98326801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 514705 + ... + 514895.

Almost surely, 2^98326800 is an apocalyptic number.

98326800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98326800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201487104).

98326800 is an abundant number, since it is smaller than the sum of its proper divisors (304647408).

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

98326800 is a wasteful number, since it uses less digits than its factorization.

98326800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 98326800 is about 9915.9870915608. The cubic root of 98326800 is about 461.5555403936. Note that the first 4 decimals are identical.

The spelling of 98326800 in words is "ninety-eight million, three hundred twenty-six thousand, eight hundred".