629784120 has 128 divisors (see below), whose sum is σ = 2168985600. Its totient is φ = 143302656.

The previous prime is 629784083. The next prime is 629784151. The reversal of 629784120 is 21487926.

629784120 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 unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199192 + ... + 202328.

It is an arithmetic number, because the mean of its divisors is an integer number (16945200).

Almost surely, 2^629784120 is an apocalyptic number.

629784120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is a pronic number, being equal to 25095×25096.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 629784120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084492800).

629784120 is an abundant number, since it is smaller than the sum of its proper divisors (1539201480).

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

629784120 is a wasteful number, since it uses less digits than its factorization.

629784120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 629784120 is about 25095.4999950190. The cubic root of 629784120 is about 857.1639586869.

The spelling of 629784120 in words is "six hundred twenty-nine million, seven hundred eighty-four thousand, one hundred twenty".