63661600 has 144 divisors (see below), whose sum is σ = 170989056. Its totient is φ = 23040000.

The previous prime is 63661579. The next prime is 63661607. The reversal of 63661600 is 616636.

It is not an unprimeable number, because it can be changed into a prime (63661607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421525 + ... + 421675.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 2^63661600 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 63661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85494528).

63661600 is an abundant number, since it is smaller than the sum of its proper divisors (107327456).

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

63661600 is a wasteful number, since it uses less digits than its factorization.

63661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 63661600 is about 7978.8219681855. The cubic root of 63661600 is about 399.2937537746.

It can be divided in two parts, 63661 and 600, that added together give a triangular number (64261 = T₃₅₈).

The spelling of 63661600 in words is "sixty-three million, six hundred sixty-one thousand, six hundred".