46632 has 32 divisors (see below), whose sum is σ = 122400. Its totient is φ = 14784.

The previous prime is 46619. The next prime is 46633. The reversal of 46632 is 23664.

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

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 46599 and 46608.

It is not an unprimeable number, because it can be changed into a prime (46633) by changing a digit.

46632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 663 + ... + 729.

It is an arithmetic number, because the mean of its divisors is an integer number (3825).

46632 is a Friedman number, since it can be written as 6*(6^(3+2)-4), using all its digits and the basic arithmetic operations.

2⁴⁶⁶³² 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 46632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61200).

46632 is an abundant number, since it is smaller than the sum of its proper divisors (75768).

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

46632 is a wasteful number, since it uses less digits than its factorization.

46632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 101 counting only the distinct ones).

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

The square root of 46632 is about 215.9444372981. The cubic root of 46632 is about 35.9938261017.

The spelling of 46632 in words is "forty-six thousand, six hundred thirty-two".