634645000 has 120 divisors (see below), whose sum is σ = 1635999750. Its totient is φ = 230560000.

The previous prime is 634644947. The next prime is 634645007. The reversal of 634645000 is 546436.

It can be written as a sum of positive squares in 5 ways, for example, as 73239364 + 561405636 = 8558^2 + 23694^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 634645000.

It is not an unprimeable number, because it can be changed into a prime (634645007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 604476 + ... + 605524.

Almost surely, 2^634645000 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 634645000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817999875).

634645000 is an abundant number, since it is smaller than the sum of its proper divisors (1001354750).

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

634645000 is a wasteful number, since it uses less digits than its factorization.

634645000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 634645000 is about 25192.1614793173. The cubic root of 634645000 is about 859.3635998488.

The spelling of 634645000 in words is "six hundred thirty-four million, six hundred forty-five thousand".