63613368 has 288 divisors, whose sum is σ = 230302800. Its totient is φ = 15676416.

The previous prime is 63613343. The next prime is 63613369. The reversal of 63613368 is 86331636.

63613368 is a `hidden beast` number, since 6 + 3 + 613 + 36 + 8 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63613369) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 871380 + ... + 871452.

Almost surely, 2^63613368 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 63613368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115151400).

63613368 is an abundant number, since it is smaller than the sum of its proper divisors (166689432).

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

63613368 is a wasteful number, since it uses less digits than its factorization.

63613368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

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

The square root of 63613368 is about 7975.7988941547. The cubic root of 63613368 is about 399.1928891924.

The spelling of 63613368 in words is "sixty-three million, six hundred thirteen thousand, three hundred sixty-eight".