98583680 has 192 divisors, whose sum is σ = 276189480. Its totient is φ = 33423360.

The previous prime is 98583679. The next prime is 98583691. The reversal of 98583680 is 8638589.

It can be written as a sum of positive squares in 12 ways, for example, as 1915456 + 96668224 = 1384^2 + 9832^2 .

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, 2404460 + ... + 2404500.

Almost surely, 2^98583680 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 98583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138094740).

98583680 is an abundant number, since it is smaller than the sum of its proper divisors (177605800).

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

98583680 is a wasteful number, since it uses less digits than its factorization.

98583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The square root of 98583680 is about 9928.9314631535. The cubic root of 98583680 is about 461.9571307586.

The spelling of 98583680 in words is "ninety-eight million, five hundred eighty-three thousand, six hundred eighty".