712608 has 48 divisors (see below), whose sum is σ = 2018016. Its totient is φ = 218880.

The previous prime is 712603. The next prime is 712631. The reversal of 712608 is 806217.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (712601) 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 7 ways as a sum of consecutive naturals, for example, 963 + ... + 1533.

It is an arithmetic number, because the mean of its divisors is an integer number (42042).

2⁷¹²⁶⁰⁸ is an apocalyptic number.

712608 is a gapful number since it is divisible by the number (78) 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 712608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009008).

712608 is an abundant number, since it is smaller than the sum of its proper divisors (1305408).

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

712608 is a wasteful number, since it uses less digits than its factorization.

712608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 589 counting only the distinct ones).

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

The square root of 712608 is about 844.1611220614. The cubic root of 712608 is about 89.3203119557.

712608 divided by its sum of digits (24) gives a palindrome (29692).

The spelling of 712608 in words is "seven hundred twelve thousand, six hundred eight".