905068800 has 324 divisors, whose sum is σ = 3410250480. Its totient is φ = 228372480.

The previous prime is 905068799. The next prime is 905068823. The reversal of 905068800 is 8860509.

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

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, 1093987 + ... + 1094813.

Almost surely, 2^905068800 is an apocalyptic number.

905068800 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 905068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705125240).

905068800 is an abundant number, since it is smaller than the sum of its proper divisors (2505181680).

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

905068800 is a wasteful number, since it uses less digits than its factorization.

905068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 905068800 is about 30084.3613859427. The cubic root of 905068800 is about 967.2985378654.

The spelling of 905068800 in words is "nine hundred five million, sixty-eight thousand, eight hundred".