63961416 has 48 divisors (see below), whose sum is σ = 175827600. Its totient is φ = 21000672.

The previous prime is 63961409. The next prime is 63961421. The reversal of 63961416 is 61416936.

63961416 is a `hidden beast` number, since 6 + 39 + 614 + 1 + 6 = 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1806 + ... + 11453.

It is an arithmetic number, because the mean of its divisors is an integer number (3663075).

Almost surely, 2^63961416 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 63961416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87913800).

63961416 is an abundant number, since it is smaller than the sum of its proper divisors (111866184).

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

63961416 is a wasteful number, since it uses less digits than its factorization.

63961416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13338 (or 13331 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 63961416 is about 7997.5881364321. The cubic root of 63961416 is about 399.9196005076.

The spelling of 63961416 in words is "sixty-three million, nine hundred sixty-one thousand, four hundred sixteen".