746648 has 32 divisors (see below), whose sum is σ = 1632000. Its totient is φ = 313632.

The previous prime is 746597. The next prime is 746653. The reversal of 746648 is 846647.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 746648.

It is an unprimeable number.

746648 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 7 ways as a sum of consecutive naturals, for example, 3653 + ... + 3851.

It is an arithmetic number, because the mean of its divisors is an integer number (51000).

2⁷⁴⁶⁶⁴⁸ 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 746648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816000).

746648 is an abundant number, since it is smaller than the sum of its proper divisors (885352).

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

746648 is a wasteful number, since it uses less digits than its factorization.

746648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 275 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 746648 is about 864.0879584857. The cubic root of 746648 is about 90.7204721962.

Subtracting 746648 from its reverse (846647), we obtain a palindrome (99999).

The spelling of 746648 in words is "seven hundred forty-six thousand, six hundred forty-eight".