99821568 has 192 divisors, whose sum is σ = 333365760. Its totient is φ = 25804800.

The previous prime is 99821563. The next prime is 99821591. The reversal of 99821568 is 86512899.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99821563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472983 + ... + 473193.

It is an arithmetic number, because the mean of its divisors is an integer number (1736280).

Almost surely, 2^99821568 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 99821568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166682880).

99821568 is an abundant number, since it is smaller than the sum of its proper divisors (233544192).

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

99821568 is a wasteful number, since it uses less digits than its factorization.

99821568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 234 counting only the distinct ones).

The product of its digits is 311040, while the sum is 48.

The square root of 99821568 is about 9991.0744166981. The cubic root of 99821568 is about 463.8826496734.

The spelling of 99821568 in words is "ninety-nine million, eight hundred twenty-one thousand, five hundred sixty-eight".