631629220 has 144 divisors (see below), whose sum is σ = 1531716480. Its totient is φ = 217552896.

The previous prime is 631629199. The next prime is 631629227. The reversal of 631629220 is 22926136.

631629220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×631629220⁴ (a number of 36 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (631629227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10705551 + ... + 10705609.

It is an arithmetic number, because the mean of its divisors is an integer number (10636920).

Almost surely, 2^631629220 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 631629220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765858240).

631629220 is an abundant number, since it is smaller than the sum of its proper divisors (900087260).

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

631629220 is a wasteful number, since it uses less digits than its factorization.

631629220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 631629220 is about 25132.2346797892. The cubic root of 631629220 is about 858.0002300211. Note that the first 3 decimals are identical.

The spelling of 631629220 in words is "six hundred thirty-one million, six hundred twenty-nine thousand, two hundred twenty".