712680 has 32 divisors (see below), whose sum is σ = 2138400. Its totient is φ = 190016.

The previous prime is 712669. The next prime is 712681. The reversal of 712680 is 86217.

712680 = T₁₅₅ + T₁₅₆ + ... + T₁₉₉.

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 712680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712681) by changing a digit.

712680 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 2850 + ... + 3089.

It is an arithmetic number, because the mean of its divisors is an integer number (66825).

2⁷¹²⁶⁸⁰ is an apocalyptic number.

It is an amenable number.

712680 is an abundant number, since it is smaller than the sum of its proper divisors (1425720).

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

712680 is a wasteful number, since it uses less digits than its factorization.

712680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5953 (or 5949 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 712680 is about 844.2037668715. The cubic root of 712680 is about 89.3233200826.

Adding to 712680 its reverse (86217), we get a palindrome (798897).

The spelling of 712680 in words is "seven hundred twelve thousand, six hundred eighty".