629888 has 64 divisors (see below), whose sum is σ = 1550400. Its totient is φ = 248832.

The previous prime is 629873. The next prime is 629891. The reversal of 629888 is 888926.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 629888.

It is an unprimeable number.

629888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17006 + ... + 17042.

It is an arithmetic number, because the mean of its divisors is an integer number (24225).

629888 is a Friedman number, since it can be written as (8*8+6^9/8)/2, using all its digits and the basic arithmetic operations.

2⁶²⁹⁸⁸⁸ 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 629888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775200).

629888 is an abundant number, since it is smaller than the sum of its proper divisors (920512).

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

629888 is a wasteful number, since it uses less digits than its factorization.

629888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 65 counting only the distinct ones).

The product of its digits is 55296, while the sum is 41.

The square root of 629888 is about 793.6548368151. The cubic root of 629888 is about 85.7211084516.

The spelling of 629888 in words is "six hundred twenty-nine thousand, eight hundred eighty-eight".