99667200 has 216 divisors, whose sum is σ = 342165600. Its totient is φ = 25518080.

The previous prime is 99667177. The next prime is 99667207. The reversal of 99667200 is 276699.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99667207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556711 + ... + 556889.

It is an arithmetic number, because the mean of its divisors is an integer number (1584100).

Almost surely, 2^99667200 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 99667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171082800).

99667200 is an abundant number, since it is smaller than the sum of its proper divisors (242498400).

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

99667200 is a wasteful number, since it uses less digits than its factorization.

99667200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 99667200 is about 9983.3461324348. The cubic root of 99667200 is about 463.6434041782.

The spelling of 99667200 in words is "ninety-nine million, six hundred sixty-seven thousand, two hundred".