21375200 has 144 divisors (see below), whose sum is σ = 65245824. Its totient is φ = 6643200.

The previous prime is 21375199. The next prime is 21375217. The reversal of 21375200 is 257312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61427 + ... + 61773.

It is an arithmetic number, because the mean of its divisors is an integer number (453096).

Almost surely, 2^21375200 is an apocalyptic number.

21375200 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 21375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32622912).

21375200 is an abundant number, since it is smaller than the sum of its proper divisors (43870624).

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

21375200 is a wasteful number, since it uses less digits than its factorization.

21375200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 21375200 is about 4623.3321316990. The cubic root of 21375200 is about 277.5258207178.

It can be divided in two parts, 2137 and 5200, that added together give a palindrome (7337).

The spelling of 21375200 in words is "twenty-one million, three hundred seventy-five thousand, two hundred".