98568000 has 252 divisors, whose sum is σ = 362381292. Its totient is φ = 25574400.

The previous prime is 98567993. The next prime is 98568011. The reversal of 98568000 is 86589.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

98568000 is a `hidden beast` number, since 98 + 568 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2214144 + 96353856 = 1488^2 + 9816^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2663982 + ... + 2664018.

It is an arithmetic number, because the mean of its divisors is an integer number (1438021).

Almost surely, 2^98568000 is an apocalyptic number.

98568000 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 98568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181190646).

98568000 is an abundant number, since it is smaller than the sum of its proper divisors (263813292).

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

98568000 is a wasteful number, since it uses less digits than its factorization.

98568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 98568000 is about 9928.1418200991. The cubic root of 98568000 is about 461.9326376178.

The spelling of 98568000 in words is "ninety-eight million, five hundred sixty-eight thousand".