209200896 has 216 divisors, whose sum is σ = 650482560. Its totient is φ = 64512000.

The previous prime is 209200841. The next prime is 209200897. The reversal of 209200896 is 698002902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 209200896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209200897) 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, 2071246 + ... + 2071346.

Almost surely, 2^209200896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209200896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325241280).

209200896 is an abundant number, since it is smaller than the sum of its proper divisors (441281664).

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

209200896 is a wasteful number, since it uses less digits than its factorization.

209200896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 209200896 is about 14463.7787593699. The cubic root of 209200896 is about 593.6372985575.

The spelling of 209200896 in words is "two hundred nine million, two hundred thousand, eight hundred ninety-six".