63846216 has 72 divisors (see below), whose sum is σ = 201159270. Its totient is φ = 18240768.

The previous prime is 63846191. The next prime is 63846227. The reversal of 63846216 is 61264836.

63846216 is a `hidden beast` number, since 638 + 4 + 6 + 2 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61685316 + 2160900 = 7854^2 + 1470^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 5521 + ... + 12576.

Almost surely, 2^63846216 is an apocalyptic number.

It is an amenable number.

63846216 is an abundant number, since it is smaller than the sum of its proper divisors (137313054).

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

63846216 is a wasteful number, since it uses less digits than its factorization.

63846216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18123 (or 18109 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 63846216 is about 7990.3827192444. The cubic root of 63846216 is about 399.6793597099.

The spelling of 63846216 in words is "sixty-three million, eight hundred forty-six thousand, two hundred sixteen".