21949200 has 360 divisors, whose sum is σ = 95146688. Its totient is φ = 4561920.

The previous prime is 21949183. The next prime is 21949211. The reversal of 21949200 is 294912.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 327567 + ... + 327633.

Almost surely, 2^21949200 is an apocalyptic number.

21949200 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 21949200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47573344).

21949200 is an abundant number, since it is smaller than the sum of its proper divisors (73197488).

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

21949200 is a wasteful number, since it uses less digits than its factorization.

21949200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 21949200 is about 4684.9973319096. The cubic root of 21949200 is about 279.9880947319.

The spelling of 21949200 in words is "twenty-one million, nine hundred forty-nine thousand, two hundred".