98749920 has 96 divisors (see below), whose sum is σ = 312439680. Its totient is φ = 26216960.

The previous prime is 98749919. The next prime is 98749933. The reversal of 98749920 is 2994789.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 98749920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200875 + ... + 201365.

It is an arithmetic number, because the mean of its divisors is an integer number (3254580).

Almost surely, 2^98749920 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 98749920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156219840).

98749920 is an abundant number, since it is smaller than the sum of its proper divisors (213689760).

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

98749920 is a wasteful number, since it uses less digits than its factorization.

98749920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 98749920 is about 9937.2994319382. The cubic root of 98749920 is about 462.2166484508.

The spelling of 98749920 in words is "ninety-eight million, seven hundred forty-nine thousand, nine hundred twenty".