63884052 has 90 divisors (see below), whose sum is σ = 173900958. Its totient is φ = 20435328.

The previous prime is 63884047. The next prime is 63884053. The reversal of 63884052 is 25048836.

It can be written as a sum of positive squares in 3 ways, for example, as 25765776 + 38118276 = 5076^2 + 6174^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 63883998 and 63884016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63884053) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 875088 + ... + 875160.

Almost surely, 2^63884052 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 63884052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86950479).

63884052 is an abundant number, since it is smaller than the sum of its proper divisors (110016906).

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

63884052 is a wasteful number, since it uses less digits than its factorization.

63884052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 63884052 is about 7992.7499648119. The cubic root of 63884052 is about 399.7582956436.

It can be divided in two parts, 6388 and 4052, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 63884052 in words is "sixty-three million, eight hundred eighty-four thousand, fifty-two".