629658640 has 80 divisors (see below), whose sum is σ = 1585242288. Its totient is φ = 231211008.

The previous prime is 629658619. The next prime is 629658647. The reversal of 629658640 is 46856926.

It can be written as a sum of positive squares in 8 ways, for example, as 451584 + 629207056 = 672^2 + 25084^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (629658647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199152 + ... + 202288.

Almost surely, 2^629658640 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 629658640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792621144).

629658640 is an abundant number, since it is smaller than the sum of its proper divisors (955583648).

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

629658640 is a wasteful number, since it uses less digits than its factorization.

629658640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 629658640 is about 25092.9998206671. Note that the first 3 decimals coincide. The cubic root of 629658640 is about 857.1070269679.

The spelling of 629658640 in words is "six hundred twenty-nine million, six hundred fifty-eight thousand, six hundred forty".