63612 has 48 divisors (see below), whose sum is σ = 179200. Its totient is φ = 19440.

The previous prime is 63611. The next prime is 63617. The reversal of 63612 is 21636.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an alternating number because its digits alternate between even and odd.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63611) 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, 2037 + ... + 2067.

2⁶³⁶¹² is an apocalyptic number.

63612 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89600).

63612 is an abundant number, since it is smaller than the sum of its proper divisors (115588).

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

63612 is a wasteful number, since it uses less digits than its factorization.

63612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 55 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 63612 is about 252.2141946838. The cubic root of 63612 is about 39.9190027636.

The spelling of 63612 in words is "sixty-three thousand, six hundred twelve".