906920 has 64 divisors (see below), whose sum is σ = 2419200. Its totient is φ = 299520.

The previous prime is 906911. The next prime is 906923. The reversal of 906920 is 29609.

It is a self number, because there is not a number n which added to its sum of digits gives 906920.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 906920.

It is not an unprimeable number, because it can be changed into a prime (906923) 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 15 ways as a sum of consecutive naturals, for example, 11441 + ... + 11519.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2⁹⁰⁶⁹²⁰ 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 906920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209600).

906920 is an abundant number, since it is smaller than the sum of its proper divisors (1512280).

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

906920 is a wasteful number, since it uses less digits than its factorization.

906920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 906920 is about 952.3234744560. The cubic root of 906920 is about 96.7957583006.

The spelling of 906920 in words is "nine hundred six thousand, nine hundred twenty".