68632 has 16 divisors (see below), whose sum is σ = 134640. Its totient is φ = 32736.

The previous prime is 68611. The next prime is 68633. The reversal of 68632 is 23686.

It is a junction number, because it is equal to n+sod(n) for n = 68597 and 68606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68633) by changing a digit.

68632 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3 + ... + 370.

It is an arithmetic number, because the mean of its divisors is an integer number (8415).

2⁶⁸⁶³² is an apocalyptic number.

It is an amenable number.

68632 is a deficient number, since it is larger than the sum of its proper divisors (66008).

68632 is a wasteful number, since it uses less digits than its factorization.

68632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 398 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 68632 is about 261.9770982357. The cubic root of 68632 is about 40.9426125542.

It can be divided in two parts, 686 and 32, that multiplied together give a cube (21952 = 28³).

The spelling of 68632 in words is "sixty-eight thousand, six hundred thirty-two".