63536616 has 256 divisors, whose sum is σ = 221356800. Its totient is φ = 16727040.

The previous prime is 63536591. The next prime is 63536617. The reversal of 63536616 is 61663536.

It is a happy number.

63536616 is a `hidden beast` number, since 6 + 3 + 5 + 36 + 616 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (63536617) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3737440 + ... + 3737456.

It is an arithmetic number, because the mean of its divisors is an integer number (864675).

Almost surely, 2^63536616 is an apocalyptic number.

63536616 is a gapful number since it is divisible by the number (66) 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 63536616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110678400).

63536616 is an abundant number, since it is smaller than the sum of its proper divisors (157820184).

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

63536616 is a wasteful number, since it uses less digits than its factorization.

63536616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 46 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 63536616 is about 7970.9858863255. The cubic root of 63536616 is about 399.0322773368.

Subtracting from 63536616 its reverse (61663536), we obtain a triangular number (1873080 = T₁₉₃₅).

The spelling of 63536616 in words is "sixty-three million, five hundred thirty-six thousand, six hundred sixteen".