712908 has 96 divisors (see below), whose sum is σ = 2257920. Its totient is φ = 190080.

The previous prime is 712891. The next prime is 712909. The reversal of 712908 is 809217.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 712908.

It is not an unprimeable number, because it can be changed into a prime (712909) by changing a digit.

712908 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17368 + ... + 17408.

It is an arithmetic number, because the mean of its divisors is an integer number (23520).

2⁷¹²⁹⁰⁸ 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 712908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128960).

712908 is an abundant number, since it is smaller than the sum of its proper divisors (1545012).

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

712908 is a wasteful number, since it uses less digits than its factorization.

712908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 76 counting only the distinct ones).

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

The square root of 712908 is about 844.3387945606. The cubic root of 712908 is about 89.3328444814.

The spelling of 712908 in words is "seven hundred twelve thousand, nine hundred eight".