99686400 has 288 divisors, whose sum is σ = 365601600. Its totient is φ = 23756800.

The previous prime is 99686381. The next prime is 99686401. The reversal of 99686400 is 468699.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99686401) 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, 1689571 + ... + 1689629.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 2^99686400 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 99686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182800800).

99686400 is an abundant number, since it is smaller than the sum of its proper divisors (265915200).

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

99686400 is a wasteful number, since it uses less digits than its factorization.

99686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 99686400 is about 9984.3076875665. The cubic root of 99686400 is about 463.6731745265.

The spelling of 99686400 in words is "ninety-nine million, six hundred eighty-six thousand, four hundred".