906768000 has 256 divisors, whose sum is σ = 3341520000. Its totient is φ = 241689600.

The previous prime is 906767999. The next prime is 906768007. The reversal of 906768000 is 867609.

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

It is not an unprimeable number, because it can be changed into a prime (906768007) 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, 430951 + ... + 433049.

Almost surely, 2^906768000 is an apocalyptic number.

906768000 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 906768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670760000).

906768000 is an abundant number, since it is smaller than the sum of its proper divisors (2434752000).

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

906768000 is a wasteful number, since it uses less digits than its factorization.

906768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 906768000 is about 30112.5887296327. The cubic root of 906768000 is about 967.9035033468.

The spelling of 906768000 in words is "nine hundred six million, seven hundred sixty-eight thousand".