711648 has 72 divisors (see below), whose sum is σ = 2319408. Its totient is φ = 202752.

The previous prime is 711629. The next prime is 711649. The reversal of 711648 is 846117.

It is a happy number.

711648 is a `hidden beast` number, since 7 + 11 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (711649) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1840 + ... + 2192.

It is an arithmetic number, because the mean of its divisors is an integer number (32214).

2⁷¹¹⁶⁴⁸ 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 711648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159704).

711648 is an abundant number, since it is smaller than the sum of its proper divisors (1607760).

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

711648 is a wasteful number, since it uses less digits than its factorization.

711648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 365 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 711648 is about 843.5923185995. The cubic root of 711648 is about 89.2801842213.

The spelling of 711648 in words is "seven hundred eleven thousand, six hundred forty-eight".