99856400 has 120 divisors (see below), whose sum is σ = 288761280. Its totient is φ = 32417280.

The previous prime is 99856391. The next prime is 99856429. The reversal of 99856400 is 465899.

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, 52262 + ... + 54138.

It is an arithmetic number, because the mean of its divisors is an integer number (2406344).

Almost surely, 2^99856400 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 99856400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144380640).

99856400 is an abundant number, since it is smaller than the sum of its proper divisors (188904880).

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

99856400 is a wasteful number, since it uses less digits than its factorization.

99856400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 99856400 is about 9992.8174205276. The cubic root of 99856400 is about 463.9365995419.

It can be divided in two parts, 99856 and 400, that multiplied together give a square (39942400 = 6320²).

The spelling of 99856400 in words is "ninety-nine million, eight hundred fifty-six thousand, four hundred".