629648 has 40 divisors (see below), whose sum is σ = 1339200. Its totient is φ = 285824.

The previous prime is 629623. The next prime is 629653. The reversal of 629648 is 846926.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10643 + ... + 10701.

It is an arithmetic number, because the mean of its divisors is an integer number (33480).

2⁶²⁹⁶⁴⁸ 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 629648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669600).

629648 is an abundant number, since it is smaller than the sum of its proper divisors (709552).

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

629648 is a wasteful number, since it uses less digits than its factorization.

629648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 629648 is about 793.5036231801. The cubic root of 629648 is about 85.7102199130.

The spelling of 629648 in words is "six hundred twenty-nine thousand, six hundred forty-eight".