906268320 has 144 divisors (see below), whose sum is σ = 3145353120. Its totient is φ = 237553152.

The previous prime is 906268313. The next prime is 906268361. The reversal of 906268320 is 23862609.

906268320 is a `hidden beast` number, since 9 + 0 + 626 + 8 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 79627 + ... + 90293.

It is an arithmetic number, because the mean of its divisors is an integer number (21842730).

Almost surely, 2^906268320 is an apocalyptic number.

906268320 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 906268320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572676560).

906268320 is an abundant number, since it is smaller than the sum of its proper divisors (2239084800).

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

906268320 is a wasteful number, since it uses less digits than its factorization.

906268320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10747 (or 10736 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 906268320 is about 30104.2907240812. The cubic root of 906268320 is about 967.7256809829.

The spelling of 906268320 in words is "nine hundred six million, two hundred sixty-eight thousand, three hundred twenty".