21793200 has 240 divisors, whose sum is σ = 82661376. Its totient is φ = 4838400.

The previous prime is 21793183. The next prime is 21793223. The reversal of 21793200 is 239712.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171537 + ... + 171663.

Almost surely, 2^21793200 is an apocalyptic number.

21793200 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 21793200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41330688).

21793200 is an abundant number, since it is smaller than the sum of its proper divisors (60868176).

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

21793200 is a wasteful number, since it uses less digits than its factorization.

21793200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 21793200 is about 4668.3187551837. The cubic root of 21793200 is about 279.3231953051.

The spelling of 21793200 in words is "twenty-one million, seven hundred ninety-three thousand, two hundred".