21667400 has 48 divisors (see below), whose sum is σ = 50822640. Its totient is φ = 8590400.

The previous prime is 21667397. The next prime is 21667417. The reversal of 21667400 is 476612.

It is a self number, because there is not a number n which added to its sum of digits gives 21667400.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 25787 + ... + 26613.

It is an arithmetic number, because the mean of its divisors is an integer number (1058805).

Almost surely, 2^21667400 is an apocalyptic number.

21667400 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 21667400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25411320).

21667400 is an abundant number, since it is smaller than the sum of its proper divisors (29155240).

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

21667400 is a wasteful number, since it uses less digits than its factorization.

21667400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 21667400 is about 4654.8254532259. The cubic root of 21667400 is about 278.7846987713.

The spelling of 21667400 in words is "twenty-one million, six hundred sixty-seven thousand, four hundred".