906720 has 48 divisors (see below), whose sum is σ = 2857680. Its totient is φ = 241664.

The previous prime is 906713. The next prime is 906727. The reversal of 906720 is 27609.

It is an interprime number because it is at equal distance from previous prime (906713) and next prime (906727).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×906720³ = 2236355493433344000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906727) by changing a digit.

906720 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 7 ways as a sum of consecutive naturals, for example, 465 + ... + 1424.

It is an arithmetic number, because the mean of its divisors is an integer number (59535).

2⁹⁰⁶⁷²⁰ is an apocalyptic number.

It is an amenable number.

906720 is an abundant number, since it is smaller than the sum of its proper divisors (1950960).

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

906720 is a wasteful number, since it uses less digits than its factorization.

906720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 906720 is about 952.2184623289. The cubic root of 906720 is about 96.7886424304.

The spelling of 906720 in words is "nine hundred six thousand, seven hundred twenty".