98652960 has 144 divisors (see below), whose sum is σ = 384785856. Its totient is φ = 22546944.

The previous prime is 98652947. The next prime is 98653007. The reversal of 98652960 is 6925689.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5187 + ... + 14973.

It is an arithmetic number, because the mean of its divisors is an integer number (2672124).

Almost surely, 2^98652960 is an apocalyptic number.

98652960 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 98652960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192392928).

98652960 is an abundant number, since it is smaller than the sum of its proper divisors (286132896).

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

98652960 is a wasteful number, since it uses less digits than its factorization.

98652960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9815 (or 9804 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 98652960 is about 9932.4196447794. The cubic root of 98652960 is about 462.0653193752.

The spelling of 98652960 in words is "ninety-eight million, six hundred fifty-two thousand, nine hundred sixty".