21201768 has 192 divisors, whose sum is σ = 71884800. Its totient is φ = 5512320.

The previous prime is 21201767. The next prime is 21201787. The reversal of 21201768 is 86710212.

It is not an unprimeable number, because it can be changed into a prime (21201767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359323 + ... + 359381.

It is an arithmetic number, because the mean of its divisors is an integer number (374400).

Almost surely, 2^21201768 is an apocalyptic number.

21201768 is a gapful number since it is divisible by the number (28) 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 21201768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35942400).

21201768 is an abundant number, since it is smaller than the sum of its proper divisors (50683032).

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

21201768 is a wasteful number, since it uses less digits than its factorization.

21201768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 21201768 is about 4604.5377618171. The cubic root of 21201768 is about 276.7731942478.

The spelling of 21201768 in words is "twenty-one million, two hundred one thousand, seven hundred sixty-eight".