64632 has 16 divisors (see below), whose sum is σ = 161640. Its totient is φ = 21536.

The previous prime is 64627. The next prime is 64633. The reversal of 64632 is 23646.

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

It is a plaindrome in base 13.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 64599 and 64608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64633) by changing a digit.

64632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1323 + ... + 1370.

2⁶⁴⁶³² is an apocalyptic number.

It is an amenable number.

64632 is an abundant number, since it is smaller than the sum of its proper divisors (97008).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80820).

64632 is a wasteful number, since it uses less digits than its factorization.

64632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2698 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 64632 is about 254.2282439069. The cubic root of 64632 is about 40.1312356260.

It can be divided in two parts, 64 and 632, that added together give a palindrome (696).

The spelling of 64632 in words is "sixty-four thousand, six hundred thirty-two".