711616260 has 72 divisors (see below), whose sum is σ = 2116679040. Its totient is φ = 178597376.

The previous prime is 711616249. The next prime is 711616307. The reversal of 711616260 is 62616117.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3180 + ... + 37859.

It is an arithmetic number, because the mean of its divisors is an integer number (29398320).

Almost surely, 2^711616260 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 711616260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058339520).

711616260 is an abundant number, since it is smaller than the sum of its proper divisors (1405062780).

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

711616260 is a wasteful number, since it uses less digits than its factorization.

711616260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41085 (or 41066 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 711616260 is about 26676.1365268661. The cubic root of 711616260 is about 892.7885688195.

It can be divided in two parts, 71161 and 6260, that added together give a triangular number (77421 = T₃₉₃).

The spelling of 711616260 in words is "seven hundred eleven million, six hundred sixteen thousand, two hundred sixty".