99264000 has 320 divisors, whose sum is σ = 367690752. Its totient is φ = 23552000.

The previous prime is 99263987. The next prime is 99264001. The reversal of 99264000 is 46299.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99264001) 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 31 ways as a sum of consecutive naturals, for example, 2111977 + ... + 2112023.

Almost surely, 2^99264000 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 99264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183845376).

99264000 is an abundant number, since it is smaller than the sum of its proper divisors (268426752).

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

99264000 is a wasteful number, since it uses less digits than its factorization.

99264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 99264000 is about 9963.1320376677. The cubic root of 99264000 is about 463.0173417212.

The spelling of 99264000 in words is "ninety-nine million, two hundred sixty-four thousand".