21284040 has 64 divisors (see below), whose sum is σ = 64252800. Its totient is φ = 5640192.

The previous prime is 21283987. The next prime is 21284041. The reversal of 21284040 is 4048212.

It is a junction number, because it is equal to n+sod(n) for n = 21283998 and 21284016.

It is not an unprimeable number, because it can be changed into a prime (21284041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22701 + ... + 23619.

It is an arithmetic number, because the mean of its divisors is an integer number (1003950).

Almost surely, 2^21284040 is an apocalyptic number.

21284040 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 21284040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32126400).

21284040 is an abundant number, since it is smaller than the sum of its proper divisors (42968760).

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

21284040 is a wasteful number, since it uses less digits than its factorization.

21284040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 21284040 is about 4613.4629076216. The cubic root of 21284040 is about 277.1307319496.

The spelling of 21284040 in words is "twenty-one million, two hundred eighty-four thousand, forty".