98253120 has 112 divisors (see below), whose sum is σ = 356542848. Its totient is φ = 22456320.

The previous prime is 98253119. The next prime is 98253157. The reversal of 98253120 is 2135289.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591 + ... + 14030.

Almost surely, 2^98253120 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 98253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178271424).

98253120 is an abundant number, since it is smaller than the sum of its proper divisors (258289728).

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

98253120 is a wasteful number, since it uses less digits than its factorization.

98253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14648 (or 14638 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 98253120 is about 9912.2711827310. The cubic root of 98253120 is about 461.4402245621.

The spelling of 98253120 in words is "ninety-eight million, two hundred fifty-three thousand, one hundred twenty".