634480960 has 112 divisors (see below), whose sum is σ = 1550218896. Its totient is φ = 247283712.

The previous prime is 634480949. The next prime is 634480961. The reversal of 634480960 is 69084436.

It can be written as a sum of positive squares in 8 ways, for example, as 5875776 + 628605184 = 2424^2 + 25072^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634480961) 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, 3667434 + ... + 3667606.

Almost surely, 2^634480960 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 634480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775109448).

634480960 is an abundant number, since it is smaller than the sum of its proper divisors (915737936).

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

634480960 is a wasteful number, since it uses less digits than its factorization.

634480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 634480960 is about 25188.9054942846. The cubic root of 634480960 is about 859.2895520728.

The spelling of 634480960 in words is "six hundred thirty-four million, four hundred eighty thousand, nine hundred sixty".