629887104 has 384 divisors, whose sum is σ = 2352430080. Its totient is φ = 162984960.

The previous prime is 629887103. The next prime is 629887187. The reversal of 629887104 is 401788926.

629887104 is a `hidden beast` number, since 629 + 8 + 8 + 7 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 629887104.

It is not an unprimeable number, because it can be changed into a prime (629887103) 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, 2394877 + ... + 2395139.

It is an arithmetic number, because the mean of its divisors is an integer number (6126120).

Almost surely, 2^629887104 is an apocalyptic number.

629887104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 629887104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176215040).

629887104 is an abundant number, since it is smaller than the sum of its proper divisors (1722542976).

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

629887104 is a wasteful number, since it uses less digits than its factorization.

629887104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 629887104 is about 25097.5517531093. The cubic root of 629887104 is about 857.2106780621.

The spelling of 629887104 in words is "six hundred twenty-nine million, eight hundred eighty-seven thousand, one hundred four".