993268800 has 252 divisors, whose sum is σ = 3685032000. Its totient is φ = 253271040.

The previous prime is 993268751. The next prime is 993268819. The reversal of 993268800 is 8862399.

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 329701 + ... + 332699.

Almost surely, 2^993268800 is an apocalyptic number.

993268800 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 993268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842516000).

993268800 is an abundant number, since it is smaller than the sum of its proper divisors (2691763200).

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

993268800 is a wasteful number, since it uses less digits than its factorization.

993268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 993268800 is about 31516.1672796677. The cubic root of 993268800 is about 997.7512134163.

The spelling of 993268800 in words is "nine hundred ninety-three million, two hundred sixty-eight thousand, eight hundred".