99568000 has 192 divisors, whose sum is σ = 290234880. Its totient is φ = 33868800.

The previous prime is 99567983. The next prime is 99568009. The reversal of 99568000 is 86599.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99568009) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 783937 + ... + 784063.

It is an arithmetic number, because the mean of its divisors is an integer number (1511640).

Almost surely, 2^99568000 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 99568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145117440).

99568000 is an abundant number, since it is smaller than the sum of its proper divisors (190666880).

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

99568000 is a wasteful number, since it uses less digits than its factorization.

99568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 99568000 is about 9978.3766214751. The cubic root of 99568000 is about 463.4895297728.

It can be divided in two parts, 9956 and 8000, that added together give a square (17956 = 134²).

The spelling of 99568000 in words is "ninety-nine million, five hundred sixty-eight thousand".