63642132 has 48 divisors (see below), whose sum is σ = 170329600. Its totient is φ = 20528640.

The previous prime is 63642119. The next prime is 63642133. The reversal of 63642132 is 23124636.

63642132 is a `hidden beast` number, since 6 + 3 + 642 + 13 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 63642096 and 63642105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63642133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6157 + ... + 12852.

Almost surely, 2^63642132 is an apocalyptic number.

63642132 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

63642132 is an abundant number, since it is smaller than the sum of its proper divisors (106687468).

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

63642132 is a wasteful number, since it uses less digits than its factorization.

63642132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19053 (or 19045 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 63642132 is about 7977.6018953066. The cubic root of 63642132 is about 399.2530476905.

Adding to 63642132 its reverse (23124636), we get a palindrome (86766768).

The spelling of 63642132 in words is "sixty-three million, six hundred forty-two thousand, one hundred thirty-two".