99999600 has 120 divisors (see below), whose sum is σ = 322896000. Its totient is φ = 26453760.

The previous prime is 99999589. The next prime is 99999611. The reversal of 99999600 is 699999.

It is an interprime number because it is at equal distance from previous prime (99999589) and next prime (99999611).

It is a tau number, because it is divible by the number of its divisors (120).

It is a nialpdrome in base 10.

It is a congruent number.

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, 200151 + ... + 200649.

It is an arithmetic number, because the mean of its divisors is an integer number (2690800).

Almost surely, 2^99999600 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 99999600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161448000).

99999600 is an abundant number, since it is smaller than the sum of its proper divisors (222896400).

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

99999600 is a wasteful number, since it uses less digits than its factorization.

99999600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 354294, while the sum is 51.

The square root of 99999600 is about 9999.9799999800. The cubic root of 99999600 is about 464.1582644819.

The spelling of 99999600 in words is "ninety-nine million, nine hundred ninety-nine thousand, six hundred".