63963144 has 96 divisors (see below), whose sum is σ = 199368000. Its totient is φ = 18147456.

The previous prime is 63963131. The next prime is 63963149. The reversal of 63963144 is 44136936.

63963144 is a `hidden beast` number, since 639 + 6 + 3 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 63963099 and 63963108.

It is not an unprimeable number, because it can be changed into a prime (63963149) 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, 89862 + ... + 90570.

It is an arithmetic number, because the mean of its divisors is an integer number (2076750).

Almost surely, 2^63963144 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 63963144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99684000).

63963144 is an abundant number, since it is smaller than the sum of its proper divisors (135404856).

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

63963144 is a wasteful number, since it uses less digits than its factorization.

63963144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 900 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 63963144 is about 7997.6961682725. The cubic root of 63963144 is about 399.9232019227.

The spelling of 63963144 in words is "sixty-three million, nine hundred sixty-three thousand, one hundred forty-four".