99681600 has 168 divisors, whose sum is σ = 344566240. Its totient is φ = 25159680.

The previous prime is 99681583. The next prime is 99681607. The reversal of 99681600 is 618699.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99681607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90654 + ... + 91746.

Almost surely, 2^99681600 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 99681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172283120).

99681600 is an abundant number, since it is smaller than the sum of its proper divisors (244884640).

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

99681600 is a wasteful number, since it uses less digits than its factorization.

99681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 99681600 is about 9984.0673074654. The cubic root of 99681600 is about 463.6657322978.

The spelling of 99681600 in words is "ninety-nine million, six hundred eighty-one thousand, six hundred".