712640 has 56 divisors (see below), whose sum is σ = 1810512. Its totient is φ = 266240.

The previous prime is 712631. The next prime is 712651. The reversal of 712640 is 46217.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

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, 5375 + ... + 5505.

2⁷¹²⁶⁴⁰ 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 712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905256).

712640 is an abundant number, since it is smaller than the sum of its proper divisors (1097872).

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

712640 is a wasteful number, since it uses less digits than its factorization.

712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 712640 is about 844.1800755763. The cubic root of 712640 is about 89.3216489260.

Adding to 712640 its reverse (46217), we get a palindrome (758857).

The spelling of 712640 in words is "seven hundred twelve thousand, six hundred forty".