98632800 has 432 divisors, whose sum is σ = 422472960. Its totient is φ = 21150720.

The previous prime is 98632783. The next prime is 98632811. The reversal of 98632800 is 823689.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 957549 + ... + 957651.

Almost surely, 2^98632800 is an apocalyptic number.

98632800 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 98632800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211236480).

98632800 is an abundant number, since it is smaller than the sum of its proper divisors (323840160).

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

98632800 is a wasteful number, since it uses less digits than its factorization.

98632800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 139 counting only the distinct ones).

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

The square root of 98632800 is about 9931.4047344774. The cubic root of 98632800 is about 462.0338424638.

The spelling of 98632800 in words is "ninety-eight million, six hundred thirty-two thousand, eight hundred".