48632 has 8 divisors (see below), whose sum is σ = 91200. Its totient is φ = 24312.

The previous prime is 48623. The next prime is 48647. The reversal of 48632 is 23684.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (8).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 48598 and 48607.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48632.

It is an unprimeable number.

48632 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 (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3032 + ... + 3047.

It is an arithmetic number, because the mean of its divisors is an integer number (11400).

2⁴⁸⁶³² is an apocalyptic number.

It is an amenable number.

48632 is a deficient number, since it is larger than the sum of its proper divisors (42568).

48632 is a wasteful number, since it uses less digits than its factorization.

48632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6085 (or 6081 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 48632 is about 220.5266423814. The cubic root of 48632 is about 36.5012197003.

The spelling of 48632 in words is "forty-eight thousand, six hundred thirty-two".