914068800 has 252 divisors, whose sum is σ = 3370575936. Its totient is φ = 243648000.

The previous prime is 914068781. The next prime is 914068807. The reversal of 914068800 is 8860419.

It is a happy number.

914068800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×914068800² = 1671043542266880000, which contains 22 as substring.

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 (914068807) 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, 387625 + ... + 389975.

Almost surely, 2^914068800 is an apocalyptic number.

914068800 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 914068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685287968).

914068800 is an abundant number, since it is smaller than the sum of its proper divisors (2456507136).

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

914068800 is a wasteful number, since it uses less digits than its factorization.

914068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 914068800 is about 30233.5707451171. The cubic root of 914068800 is about 970.4942392201.

The spelling of 914068800 in words is "nine hundred fourteen million, sixty-eight thousand, eight hundred".