99266400 has 216 divisors, whose sum is σ = 371085624. Its totient is φ = 24883200.

The previous prime is 99266399. The next prime is 99266407. The reversal of 99266400 is 466299.

99266400 is a `hidden beast` number, since 9 + 9 + 2 + 6 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99266407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121995 + ... + 122805.

It is an arithmetic number, because the mean of its divisors is an integer number (1717989).

Almost surely, 2^99266400 is an apocalyptic number.

99266400 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 99266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185542812).

99266400 is an abundant number, since it is smaller than the sum of its proper divisors (271819224).

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

99266400 is a wasteful number, since it uses less digits than its factorization.

99266400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 99266400 is about 9963.2524809923. The cubic root of 99266400 is about 463.0210732944.

The spelling of 99266400 in words is "ninety-nine million, two hundred sixty-six thousand, four hundred".