629125120 has 208 divisors, whose sum is σ = 1733870880. Its totient is φ = 217055232.

The previous prime is 629125117. The next prime is 629125153. The reversal of 629125120 is 21521926.

It is a tau number, because it is divible by the number of its divisors (208).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4526011 + ... + 4526149.

Almost surely, 2^629125120 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 629125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866935440).

629125120 is an abundant number, since it is smaller than the sum of its proper divisors (1104745760).

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

629125120 is a wasteful number, since it uses less digits than its factorization.

629125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 629125120 is about 25082.3667144869. The cubic root of 629125120 is about 856.8648783244.

The spelling of 629125120 in words is "six hundred twenty-nine million, one hundred twenty-five thousand, one hundred twenty".