61632 has 42 divisors (see below), whose sum is σ = 178308. Its totient is φ = 20352.

The previous prime is 61631. The next prime is 61637. The reversal of 61632 is 23616.

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 Ulam number.

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (61631) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 523 + ... + 629.

2⁶¹⁶³² 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 61632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89154).

61632 is an abundant number, since it is smaller than the sum of its proper divisors (116676).

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

61632 is a wasteful number, since it uses less digits than its factorization.

61632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

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

The square root of 61632 is about 248.2579303869. The cubic root of 61632 is about 39.5004539819.

Subtracting from 61632 its product of digits (216), we obtain a palindrome (61416).

The spelling of 61632 in words is "sixty-one thousand, six hundred thirty-two".