99694800 has 300 divisors, whose sum is σ = 380936556. Its totient is φ = 24883200.

The previous prime is 99694759. The next prime is 99694807. The reversal of 99694800 is 849699.

It can be written as a sum of positive squares in 6 ways, for example, as 10732176 + 88962624 = 3276^2 + 9432^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99694807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 550710 + ... + 550890.

Almost surely, 2^99694800 is an apocalyptic number.

99694800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99694800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190468278).

99694800 is an abundant number, since it is smaller than the sum of its proper divisors (281241756).

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

99694800 is a wasteful number, since it uses less digits than its factorization.

99694800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 99694800 is about 9984.7283388182. The cubic root of 99694800 is about 463.6861978519.

The spelling of 99694800 in words is "ninety-nine million, six hundred ninety-four thousand, eight hundred".