711360 has 168 divisors, whose sum is σ = 2773680. Its totient is φ = 165888.

The previous prime is 711353. The next prime is 711371. The reversal of 711360 is 63117.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37431 + ... + 37449.

It is an arithmetic number, because the mean of its divisors is an integer number (16510).

2⁷¹¹³⁶⁰ 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 711360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386840).

711360 is an abundant number, since it is smaller than the sum of its proper divisors (2062320).

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

711360 is a wasteful number, since it uses less digits than its factorization.

711360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 711360 is about 843.4216027587. The cubic root of 711360 is about 89.2681388644.

Adding to 711360 its reverse (63117), we get a palindrome (774477).

It can be divided in two parts, 71 and 1360, that added together give a triangular number (1431 = T₅₃).

The spelling of 711360 in words is "seven hundred eleven thousand, three hundred sixty".