711960 has 64 divisors (see below), whose sum is σ = 2268000. Its totient is φ = 178176.

The previous prime is 711959. The next prime is 711967. The reversal of 711960 is 69117.

711960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 711960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (711967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1866 + ... + 2214.

2⁷¹¹⁹⁶⁰ 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 711960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134000).

711960 is an abundant number, since it is smaller than the sum of its proper divisors (1556040).

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

711960 is a wasteful number, since it uses less digits than its factorization.

711960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 711960 is about 843.7772217831. Note that the first 3 decimals coincide. The cubic root of 711960 is about 89.2932296912.

The spelling of 711960 in words is "seven hundred eleven thousand, nine hundred sixty".