20689200 has 180 divisors, whose sum is σ = 82153968. Its totient is φ = 4723200.

The previous prime is 20689159. The next prime is 20689211. The reversal of 20689200 is 298602.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24790 + ... + 25610.

Almost surely, 2^20689200 is an apocalyptic number.

20689200 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 20689200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41076984).

20689200 is an abundant number, since it is smaller than the sum of its proper divisors (61464768).

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

20689200 is a wasteful number, since it uses less digits than its factorization.

20689200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20689200 is about 4548.5382267274. The cubic root of 20689200 is about 274.5245780097.

The spelling of 20689200 in words is "twenty million, six hundred eighty-nine thousand, two hundred".