98724560 has 80 divisors (see below), whose sum is σ = 256322880. Its totient is φ = 35051520.

The previous prime is 98724541. The next prime is 98724617. The reversal of 98724560 is 6542789.

It is a tau number, because it is divible by the number of its divisors (80).

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, 36536 + ... + 39144.

It is an arithmetic number, because the mean of its divisors is an integer number (3204036).

Almost surely, 2^98724560 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 98724560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128161440).

98724560 is an abundant number, since it is smaller than the sum of its proper divisors (157598320).

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

98724560 is a wasteful number, since it uses less digits than its factorization.

98724560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 98724560 is about 9936.0233494090. The cubic root of 98724560 is about 462.1770777258.

The spelling of 98724560 in words is "ninety-eight million, seven hundred twenty-four thousand, five hundred sixty".