209168064 has 126 divisors (see below), whose sum is σ = 697521084. Its totient is φ = 59754240.

The previous prime is 209168053. The next prime is 209168143. The reversal of 209168064 is 460861902.

209168064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (126).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24519 + ... + 31929.

Almost surely, 2^209168064 is an apocalyptic number.

209168064 is a gapful number since it is divisible by the number (24) 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 209168064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348760542).

209168064 is an abundant number, since it is smaller than the sum of its proper divisors (488353020).

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

209168064 is a wasteful number, since it uses less digits than its factorization.

209168064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7443 (or 7423 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 209168064 is about 14462.6437417230. The cubic root of 209168064 is about 593.6062417761.

The spelling of 209168064 in words is "two hundred nine million, one hundred sixty-eight thousand, sixty-four".