629964 has 48 divisors (see below), whose sum is σ = 1724800. Its totient is φ = 198288.

The previous prime is 629963. The next prime is 629977. The reversal of 629964 is 469926.

629964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 16.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (629963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1899 + ... + 2205.

629964 is a Friedman number, since it can be written as 9*6*(9*6^4+2), using all its digits and the basic arithmetic operations.

2⁶²⁹⁹⁶⁴ 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 629964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862400).

629964 is an abundant number, since it is smaller than the sum of its proper divisors (1094836).

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

629964 is a wasteful number, since it uses less digits than its factorization.

629964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 331 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 629964 is about 793.7027151270. The cubic root of 629964 is about 85.7245559122.

The spelling of 629964 in words is "six hundred twenty-nine thousand, nine hundred sixty-four".