634989601 has 9 divisors (see below), whose sum is σ = 643544499. Its totient is φ = 626547936.

The previous prime is 634989583. The next prime is 634989629. The reversal of 634989601 is 106989436.

The square root of 634989601 is 25199.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11189025 + 623800576 = 3345^2 + 24976^2 .

It is not a de Polignac number, because 634989601 - 2⁵ = 634989569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (634989631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2847376 + ... + 2847598.

Almost surely, 2^634989601 is an apocalyptic number.

634989601 is the 25199-th square number.

634989601 is the 12600-th centered octagonal number.

It is an amenable number.

634989601 is a deficient number, since it is larger than the sum of its proper divisors (8554898).

634989601 is an frugal number, since it uses more digits than its factorization.

634989601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The cubic root of 634989601 is about 859.5191114460.

The spelling of 634989601 in words is "six hundred thirty-four million, nine hundred eighty-nine thousand, six hundred one".