98960400 has 720 divisors, whose sum is σ = 473273280. Its totient is φ = 19353600.

The previous prime is 98960399. The next prime is 98960419. The reversal of 98960400 is 406989.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 5821192 + ... + 5821208.

It is an arithmetic number, because the mean of its divisors is an integer number (657324).

Almost surely, 2^98960400 is an apocalyptic number.

98960400 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 98960400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236636640).

98960400 is an abundant number, since it is smaller than the sum of its proper divisors (374312880).

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

98960400 is a wasteful number, since it uses less digits than its factorization.

98960400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 98960400 is about 9947.8841971547. The cubic root of 98960400 is about 462.5448118255.

The spelling of 98960400 in words is "ninety-eight million, nine hundred sixty thousand, four hundred".