63615136 has 48 divisors (see below), whose sum is σ = 138555144. Its totient is φ = 28560384.

The previous prime is 63615113. The next prime is 63615137. The reversal of 63615136 is 63151636.

It can be written as a sum of positive squares in 4 ways, for example, as 60155536 + 3459600 = 7756^2 + 1860^2 .

It is a junction number, because it is equal to n+sod(n) for n = 63615098 and 63615107.

It is not an unprimeable number, because it can be changed into a prime (63615137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13326 + ... + 17458.

Almost surely, 2^63615136 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 63615136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69277572).

63615136 is an abundant number, since it is smaller than the sum of its proper divisors (74940008).

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

63615136 is a wasteful number, since it uses less digits than its factorization.

63615136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193 (or 4185 counting only the distinct ones).

The product of its digits is 9720, while the sum is 31.

The square root of 63615136 is about 7975.9097286767. The cubic root of 63615136 is about 399.1965874009.

The spelling of 63615136 in words is "sixty-three million, six hundred fifteen thousand, one hundred thirty-six".