63613632 has 56 divisors (see below), whose sum is σ = 172437552. Its totient is φ = 20684800.

The previous prime is 63613603. The next prime is 63613633. The reversal of 63613632 is 23631636.

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

It is a self number, because there is not a number n which added to its sum of digits gives 63613632.

It is not an unprimeable number, because it can be changed into a prime (63613633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3832 + ... + 11912.

It is an arithmetic number, because the mean of its divisors is an integer number (3079242).

Almost surely, 2^63613632 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 63613632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86218776).

63613632 is an abundant number, since it is smaller than the sum of its proper divisors (108823920).

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

63613632 is a wasteful number, since it uses less digits than its factorization.

63613632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8137 (or 8127 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

The square root of 63613632 is about 7975.8154442038. The cubic root of 63613632 is about 399.1934414179.

The spelling of 63613632 in words is "sixty-three million, six hundred thirteen thousand, six hundred thirty-two".