629475168 has 144 divisors (see below), whose sum is σ = 2023600320. Its totient is φ = 170360064.

The previous prime is 629475163. The next prime is 629475199. The reversal of 629475168 is 861574926.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629475163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85855 + ... + 92897.

It is an arithmetic number, because the mean of its divisors is an integer number (14052780).

Almost surely, 2^629475168 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 629475168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011800160).

629475168 is an abundant number, since it is smaller than the sum of its proper divisors (1394125152).

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

629475168 is a wasteful number, since it uses less digits than its factorization.

629475168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7089 (or 7074 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 629475168 is about 25089.3437140153. The cubic root of 629475168 is about 857.0237699951.

The spelling of 629475168 in words is "six hundred twenty-nine million, four hundred seventy-five thousand, one hundred sixty-eight".