906880 has 64 divisors (see below), whose sum is σ = 2356200. Its totient is φ = 331776.

The previous prime is 906869. The next prime is 906881. The reversal of 906880 is 88609.

906880 = T₄₇ + T₄₈ + ... + T₁₇₆.

It can be written as a sum of positive squares in 4 ways, for example, as 652864 + 254016 = 808^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906881) by changing a digit.

906880 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, 8266 + ... + 8374.

2⁹⁰⁶⁸⁸⁰ 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 906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178100).

906880 is an abundant number, since it is smaller than the sum of its proper divisors (1449320).

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

906880 is a wasteful number, since it uses less digits than its factorization.

906880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 906880 is about 952.3024729570. The cubic root of 906880 is about 96.7943352102.

The spelling of 906880 in words is "nine hundred six thousand, eight hundred eighty".