98046720 has 144 divisors (see below), whose sum is σ = 348052320. Its totient is φ = 26136576.

The previous prime is 98046691. The next prime is 98046733. The reversal of 98046720 is 2764089.

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

It is a super-2 number, since 2×98046720² = 19226318605516800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 33142 + ... + 35978.

It is an arithmetic number, because the mean of its divisors is an integer number (2417030).

Almost surely, 2^98046720 is an apocalyptic number.

98046720 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 98046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174026160).

98046720 is an abundant number, since it is smaller than the sum of its proper divisors (250005600).

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

98046720 is a wasteful number, since it uses less digits than its factorization.

98046720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 98046720 is about 9901.8543717831. The cubic root of 98046720 is about 461.1168827307.

The spelling of 98046720 in words is "ninety-eight million, forty-six thousand, seven hundred twenty".