906480 has 60 divisors (see below), whose sum is σ = 3046680. Its totient is φ = 241536.

The previous prime is 906473. The next prime is 906481. The reversal of 906480 is 84609.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×906480³ = 2234580138533376000, which contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct 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 906480.

It is not an unprimeable number, because it can be changed into a prime (906481) by changing a digit.

906480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 91 + ... + 1349.

It is an arithmetic number, because the mean of its divisors is an integer number (50778).

2⁹⁰⁶⁴⁸⁰ is an apocalyptic number.

906480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523340).

906480 is an abundant number, since it is smaller than the sum of its proper divisors (2140200).

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

906480 is a wasteful number, since it uses less digits than its factorization.

906480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 906480 is about 952.0924324875. The cubic root of 906480 is about 96.7801020048.

The spelling of 906480 in words is "nine hundred six thousand, four hundred eighty".