959712 has 48 divisors (see below), whose sum is σ = 2716560. Its totient is φ = 294912.

The previous prime is 959689. The next prime is 959719. The reversal of 959712 is 217959.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (959719) by changing a digit.

959712 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, 864 + ... + 1632.

It is an arithmetic number, because the mean of its divisors is an integer number (56595).

2⁹⁵⁹⁷¹² 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 959712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358280).

959712 is an abundant number, since it is smaller than the sum of its proper divisors (1756848).

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

959712 is a wasteful number, since it uses less digits than its factorization.

959712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 787 counting only the distinct ones).

The product of its digits is 5670, while the sum is 33.

The square root of 959712 is about 979.6489167043. The cubic root of 959712 is about 98.6386171383.

The spelling of 959712 in words is "nine hundred fifty-nine thousand, seven hundred twelve".