20971200 has 168 divisors, whose sum is σ = 73133712. Its totient is φ = 5242880.

The previous prime is 20971157. The next prime is 20971219. The reversal of 20971200 is 217902.

It is a happy 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, 81472 + ... + 81728.

Almost surely, 2^20971200 is an apocalyptic number.

20971200 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 20971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36566856).

20971200 is an abundant number, since it is smaller than the sum of its proper divisors (52162512).

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

20971200 is a wasteful number, since it uses less digits than its factorization.

20971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 20971200 is about 4579.4322792241. The cubic root of 20971200 is about 275.7662376902.

The spelling of 20971200 in words is "twenty million, nine hundred seventy-one thousand, two hundred".