629682144 has 192 divisors, whose sum is σ = 2077286400. Its totient is φ = 165957120.

The previous prime is 629682127. The next prime is 629682197. The reversal of 629682144 is 441286926.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 629682096 and 629682105.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 427329 + ... + 428799.

It is an arithmetic number, because the mean of its divisors is an integer number (10819200).

Almost surely, 2^629682144 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 629682144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038643200).

629682144 is an abundant number, since it is smaller than the sum of its proper divisors (1447604256).

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

629682144 is a wasteful number, since it uses less digits than its factorization.

629682144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1496 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 629682144 is about 25093.4681540834. The cubic root of 629682144 is about 857.1176915786.

The spelling of 629682144 in words is "six hundred twenty-nine million, six hundred eighty-two thousand, one hundred forty-four".