906612 has 48 divisors (see below), whose sum is σ = 2483712. Its totient is φ = 252000.

The previous prime is 906601. The next prime is 906613. The reversal of 906612 is 216609.

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 906612.

It is not an unprimeable number, because it can be changed into a prime (906613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3487 + ... + 3737.

It is an arithmetic number, because the mean of its divisors is an integer number (51744).

2⁹⁰⁶⁶¹² 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 906612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241856).

906612 is an abundant number, since it is smaller than the sum of its proper divisors (1577100).

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

906612 is a wasteful number, since it uses less digits than its factorization.

906612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 906612 is about 952.1617509646. The cubic root of 906612 is about 96.7847994254.

The spelling of 906612 in words is "nine hundred six thousand, six hundred twelve".