711338112 has 320 divisors, whose sum is σ = 2340043200. Its totient is φ = 213497856.

The previous prime is 711338101. The next prime is 711338119. The reversal of 711338112 is 211833117.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (711338119) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4530738 + ... + 4530894.

It is an arithmetic number, because the mean of its divisors is an integer number (7312635).

Almost surely, 2^711338112 is an apocalyptic number.

711338112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 711338112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170021600).

711338112 is an abundant number, since it is smaller than the sum of its proper divisors (1628705088).

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

711338112 is a wasteful number, since it uses less digits than its factorization.

711338112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 204 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 711338112 is about 26670.9225937162. The cubic root of 711338112 is about 892.6722328436.

The spelling of 711338112 in words is "seven hundred eleven million, three hundred thirty-eight thousand, one hundred twelve".