20647200 has 144 divisors (see below), whose sum is σ = 76870080. Its totient is φ = 4715520.

The previous prime is 20647183. The next prime is 20647201. The reversal of 20647200 is 274602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (20647201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16186 + ... + 17414.

It is an arithmetic number, because the mean of its divisors is an integer number (533820).

Almost surely, 2^20647200 is an apocalyptic number.

20647200 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 20647200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38435040).

20647200 is an abundant number, since it is smaller than the sum of its proper divisors (56222880).

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

20647200 is a wasteful number, since it uses less digits than its factorization.

20647200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 20647200 is about 4543.9190133628. The cubic root of 20647200 is about 274.3386864455.

The spelling of 20647200 in words is "twenty million, six hundred forty-seven thousand, two hundred".