21679040 has 56 divisors (see below), whose sum is σ = 53047392. Its totient is φ = 8432640.

The previous prime is 21679039. The next prime is 21679043. The reversal of 21679040 is 4097612.

It is a junction number, because it is equal to n+sod(n) for n = 21678994 and 21679012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21679043) by changing a digit.

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 in 7 ways as a sum of consecutive naturals, for example, 10925 + ... + 12755.

Almost surely, 2^21679040 is an apocalyptic number.

21679040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26523696).

21679040 is an abundant number, since it is smaller than the sum of its proper divisors (31368352).

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

21679040 is a wasteful number, since it uses less digits than its factorization.

21679040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 21679040 is about 4656.0756007608. The cubic root of 21679040 is about 278.8346120507.

The spelling of 21679040 in words is "twenty-one million, six hundred seventy-nine thousand, forty".