98750400 has 168 divisors, whose sum is σ = 370392960. Its totient is φ = 22563840.

The previous prime is 98750389. The next prime is 98750417. The reversal of 98750400 is 405789.

It is a tau number, because it is divible by the number of its divisors (168).

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, 32131 + ... + 35069.

It is an arithmetic number, because the mean of its divisors is an integer number (2204720).

Almost surely, 2^98750400 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 98750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185196480).

98750400 is an abundant number, since it is smaller than the sum of its proper divisors (271642560).

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

98750400 is a wasteful number, since it uses less digits than its factorization.

98750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 98750400 is about 9937.3235833397. The cubic root of 98750400 is about 462.2173973581.

The spelling of 98750400 in words is "ninety-eight million, seven hundred fifty thousand, four hundred".