63661000 has 128 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 22828800.

The previous prime is 63660977. The next prime is 63661049. The reversal of 63661000 is 16636.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 766959 + ... + 767041.

It is an arithmetic number, because the mean of its divisors is an integer number (1289925).

Almost surely, 2^63661000 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 63661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

63661000 is an abundant number, since it is smaller than the sum of its proper divisors (101449400).

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

63661000 is a wasteful number, since it uses less digits than its factorization.

63661000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 63661000 is about 7978.7843685614. The cubic root of 63661000 is about 399.2924993449.

Adding to 63661000 its reverse (16636), we get a palindrome (63677636).

The spelling of 63661000 in words is "sixty-three million, six hundred sixty-one thousand".