906080 has 48 divisors (see below), whose sum is σ = 2449440. Its totient is φ = 310272.

The previous prime is 906043. The next prime is 906089. The reversal of 906080 is 80609.

906080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906089) by changing a digit.

906080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 716 + ... + 1524.

It is an arithmetic number, because the mean of its divisors is an integer number (51030).

2⁹⁰⁶⁰⁸⁰ 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 906080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224720).

906080 is an abundant number, since it is smaller than the sum of its proper divisors (1543360).

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

906080 is a wasteful number, since it uses less digits than its factorization.

906080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 906080 is about 951.8823456709. The cubic root of 906080 is about 96.7658646117.

Adding to 906080 its reverse (80609), we get a palindrome (986689).

The spelling of 906080 in words is "nine hundred six thousand, eighty".