629958 has 32 divisors (see below), whose sum is σ = 1472256. Its totient is φ = 175968.

The previous prime is 629939. The next prime is 629963. The reversal of 629958 is 859926.

It is a happy number.

629958 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 629958.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2085 + ... + 2367.

It is an arithmetic number, because the mean of its divisors is an integer number (46008).

2⁶²⁹⁹⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 629958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736128).

629958 is an abundant number, since it is smaller than the sum of its proper divisors (842298).

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

629958 is a wasteful number, since it uses less digits than its factorization.

629958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348.

The product of its digits is 38880, while the sum is 39.

The square root of 629958 is about 793.6989353653. The cubic root of 629958 is about 85.7242837544.

The spelling of 629958 in words is "six hundred twenty-nine thousand, nine hundred fifty-eight".