98313120 has 144 divisors (see below), whose sum is σ = 340835040. Its totient is φ = 25800192.

The previous prime is 98313101. The next prime is 98313139. The reversal of 98313120 is 2131389.

It is an interprime number because it is at equal distance from previous prime (98313101) and next prime (98313139).

It is a tau number, because it is divible by the number of its divisors (144).

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, 95971 + ... + 96989.

It is an arithmetic number, because the mean of its divisors is an integer number (2366910).

Almost surely, 2^98313120 is an apocalyptic number.

98313120 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 98313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170417520).

98313120 is an abundant number, since it is smaller than the sum of its proper divisors (242521920).

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

98313120 is a wasteful number, since it uses less digits than its factorization.

98313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 98313120 is about 9915.2972723968. The cubic root of 98313120 is about 461.5341343184.

The spelling of 98313120 in words is "ninety-eight million, three hundred thirteen thousand, one hundred twenty".