63661200 has 60 divisors (see below), whose sum is σ = 203931888. Its totient is φ = 16976000.

The previous prime is 63661193. The next prime is 63661207. The reversal of 63661200 is 216636.

It is an interprime number because it is at equal distance from previous prime (63661193) and next prime (63661207).

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (63661207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25326 + ... + 27725.

Almost surely, 2^63661200 is an apocalyptic number.

63661200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

63661200 is an abundant number, since it is smaller than the sum of its proper divisors (140270688).

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

63661200 is a wasteful number, since it uses less digits than its factorization.

63661200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53072 (or 53061 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 63661200 is about 7978.7969017891. The cubic root of 63661200 is about 399.2929174890.

Adding to 63661200 its reverse (216636), we get a palindrome (63877836).

The spelling of 63661200 in words is "sixty-three million, six hundred sixty-one thousand, two hundred".