63961344 has 216 divisors, whose sum is σ = 206623872. Its totient is φ = 18923520.

The previous prime is 63961319. The next prime is 63961351. The reversal of 63961344 is 44316936.

63961344 is a `hidden beast` number, since 6 + 39 + 613 + 4 + 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 = 63961299 and 63961308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 900829 + ... + 900899.

It is an arithmetic number, because the mean of its divisors is an integer number (956592).

Almost surely, 2^63961344 is an apocalyptic number.

63961344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63961344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103311936).

63961344 is an abundant number, since it is smaller than the sum of its proper divisors (142662528).

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

63961344 is a wasteful number, since it uses less digits than its factorization.

63961344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 116 counting only the distinct ones).

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

The square root of 63961344 is about 7997.5836350738. The cubic root of 63961344 is about 399.9194504472.

The spelling of 63961344 in words is "sixty-three million, nine hundred sixty-one thousand, three hundred forty-four".