21319200 has 360 divisors, whose sum is σ = 90744192. Its totient is φ = 4769280.

The previous prime is 21319171. The next prime is 21319211. The reversal of 21319200 is 291312.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 453577 + ... + 453623.

Almost surely, 2^21319200 is an apocalyptic number.

21319200 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 21319200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45372096).

21319200 is an abundant number, since it is smaller than the sum of its proper divisors (69424992).

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

21319200 is a wasteful number, since it uses less digits than its factorization.

21319200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 21319200 is about 4617.2719218170. The cubic root of 21319200 is about 277.2832492973.

The spelling of 21319200 in words is "twenty-one million, three hundred nineteen thousand, two hundred".