906264 has 48 divisors (see below), whose sum is σ = 2522520. Its totient is φ = 293760.

The previous prime is 906263. The next prime is 906289. The reversal of 906264 is 462609.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 906264.

It is not an unprimeable number, because it can be changed into a prime (906263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2799 + ... + 3105.

2⁹⁰⁶²⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261260).

906264 is an abundant number, since it is smaller than the sum of its proper divisors (1616256).

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

906264 is a wasteful number, since it uses less digits than its factorization.

906264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 906264 is about 951.9789913648. The cubic root of 906264 is about 96.7724143329.

The spelling of 906264 in words is "nine hundred six thousand, two hundred sixty-four".