63815616 has 84 divisors (see below), whose sum is σ = 190908432. Its totient is φ = 20342784.

The previous prime is 63815611. The next prime is 63815627. The reversal of 63815616 is 61651836.

It is a happy number.

63815616 is a `hidden beast` number, since 6 + 38 + 1 + 5 + 616 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63815611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10840 + ... + 15656.

Almost surely, 2^63815616 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 63815616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95454216).

63815616 is an abundant number, since it is smaller than the sum of its proper divisors (127092816).

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

63815616 is a wasteful number, since it uses less digits than its factorization.

63815616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4858 (or 4845 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 63815616 is about 7988.4676878610. The cubic root of 63815616 is about 399.6154971790.

The spelling of 63815616 in words is "sixty-three million, eight hundred fifteen thousand, six hundred sixteen".