21986200 has 48 divisors (see below), whose sum is σ = 51458760. Its totient is φ = 8736000.

The previous prime is 21986197. The next prime is 21986203. The reversal of 21986200 is 268912.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21986197) and next prime (21986203).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21986203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41940 + ... + 42460.

Almost surely, 2^21986200 is an apocalyptic number.

21986200 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 21986200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25729380).

21986200 is an abundant number, since it is smaller than the sum of its proper divisors (29472560).

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

21986200 is a wasteful number, since it uses less digits than its factorization.

21986200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 21986200 is about 4688.9444441153. The cubic root of 21986200 is about 280.1453327159.

The spelling of 21986200 in words is "twenty-one million, nine hundred eighty-six thousand, two hundred".