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20832 = 253731

20832 has 48 divisors (see below), whose sum is σ = 64512. Its totient is φ = 5760.

The previous prime is 20809. The next prime is 20849. The reversal of 20832 is 23802.

Subtracting from 20832 its product of nonzero digits (96), we obtain a 4-th power (20736 = 124).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 657 + ... + 687.

It is an arithmetic number, because the mean of its divisors is an integer number (1344).

220832 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 20832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32256).

20832 is an abundant number, since it is smaller than the sum of its proper divisors (43680).

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

20832 is a wasteful number, since it uses less digits than its factorization.

20832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 20832 is about 144.3329484213. The cubic root of 20832 is about 27.5154733856.

The spelling of 20832 in words is "twenty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 20832