906907320 has 256 divisors, whose sum is σ = 3336076800. Its totient is φ = 217313280.

The previous prime is 906907303. The next prime is 906907357. The reversal of 906907320 is 23709609.

906907320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1151967 + ... + 1152753.

It is an arithmetic number, because the mean of its divisors is an integer number (13031550).

Almost surely, 2^906907320 is an apocalyptic number.

906907320 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 906907320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668038400).

906907320 is an abundant number, since it is smaller than the sum of its proper divisors (2429169480).

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

906907320 is a wasteful number, since it uses less digits than its factorization.

906907320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 906907320 is about 30114.9019589970. The cubic root of 906907320 is about 967.9530718547.

The spelling of 906907320 in words is "nine hundred six million, nine hundred seven thousand, three hundred twenty".