906960 has 40 divisors (see below), whose sum is σ = 2812320. Its totient is φ = 241792.

The previous prime is 906949. The next prime is 906973. The reversal of 906960 is 69609.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 906960.

It is an unprimeable number.

906960 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, 1650 + ... + 2129.

It is an arithmetic number, because the mean of its divisors is an integer number (70308).

2⁹⁰⁶⁹⁶⁰ is an apocalyptic number.

It is an amenable number.

906960 is an abundant number, since it is smaller than the sum of its proper divisors (1905360).

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

906960 is a wasteful number, since it uses less digits than its factorization.

906960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 906960 is about 952.3444754919. The cubic root of 906960 is about 96.7971813491.

The spelling of 906960 in words is "nine hundred six thousand, nine hundred sixty".