20672200 has 48 divisors (see below), whose sum is σ = 49254660. Its totient is φ = 8064000.

The previous prime is 20672131. The next prime is 20672227. The reversal of 20672200 is 227602.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6084 + 20666116 = 78^2 + 4546^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6940 + ... + 9460.

Almost surely, 2^20672200 is an apocalyptic number.

20672200 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 20672200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24627330).

20672200 is an abundant number, since it is smaller than the sum of its proper divisors (28582460).

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

20672200 is a wasteful number, since it uses less digits than its factorization.

20672200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 20672200 is about 4546.6691104588. The cubic root of 20672200 is about 274.4493665201.

Adding to 20672200 its reverse (227602), we get a palindrome (20899802).

It can be divided in two parts, 20 and 672200, that added together give a triangular number (672220 = T₁₁₅₉).

The spelling of 20672200 in words is "twenty million, six hundred seventy-two thousand, two hundred".