913824000 has 432 divisors, whose sum is σ = 3481994880. Its totient is φ = 229478400.

The previous prime is 913823987. The next prime is 913824011. The reversal of 913824000 is 428319.

913824000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5471917 + ... + 5472083.

Almost surely, 2^913824000 is an apocalyptic number.

913824000 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 913824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740997440).

913824000 is an abundant number, since it is smaller than the sum of its proper divisors (2568170880).

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

913824000 is a wasteful number, since it uses less digits than its factorization.

913824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 913824000 is about 30229.5219942360. The cubic root of 913824000 is about 970.4075943192.

The spelling of 913824000 in words is "nine hundred thirteen million, eight hundred twenty-four thousand".