63821952 has 128 divisors (see below), whose sum is σ = 192168000. Its totient is φ = 20846592.

The previous prime is 63821939. The next prime is 63821977. The reversal of 63821952 is 25912836.

63821952 is a `hidden beast` number, since 638 + 2 + 19 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203748 + ... + 204060.

Almost surely, 2^63821952 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 63821952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96084000).

63821952 is an abundant number, since it is smaller than the sum of its proper divisors (128346048).

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

63821952 is a wasteful number, since it uses less digits than its factorization.

63821952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 377 counting only the distinct ones).

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

The square root of 63821952 is about 7988.8642496916. The cubic root of 63821952 is about 399.6287221552.

The spelling of 63821952 in words is "sixty-three million, eight hundred twenty-one thousand, nine hundred fifty-two".