21399680 has 64 divisors (see below), whose sum is σ = 52968600. Its totient is φ = 8257536.

The previous prime is 21399661. The next prime is 21399689. The reversal of 21399680 is 8699312.

It can be written as a sum of positive squares in 4 ways, for example, as 19571776 + 1827904 = 4424^2 + 1352^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (21399689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17984 + ... + 19136.

Almost surely, 2^21399680 is an apocalyptic number.

21399680 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 21399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26484300).

21399680 is an abundant number, since it is smaller than the sum of its proper divisors (31568920).

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

21399680 is a wasteful number, since it uses less digits than its factorization.

21399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 21399680 is about 4625.9788153428. The cubic root of 21399680 is about 277.6317260066.

The spelling of 21399680 in words is "twenty-one million, three hundred ninety-nine thousand, six hundred eighty".