209084064 has 48 divisors (see below), whose sum is σ = 627254208. Its totient is φ = 59738112.

The previous prime is 209084047. The next prime is 209084069. The reversal of 209084064 is 460480902.

209084064 is digitally balanced in base 2 and base 3, because in such bases 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 (48).

It is a super-2 number, since 2×209084064² = 87432291637512192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (209084069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154897 + ... + 156240.

It is an arithmetic number, because the mean of its divisors is an integer number (13067796).

Almost surely, 2^209084064 is an apocalyptic number.

209084064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

209084064 is an abundant number, since it is smaller than the sum of its proper divisors (418170144).

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

209084064 is a wasteful number, since it uses less digits than its factorization.

209084064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311157 (or 311149 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 209084064 is about 14459.7394167392. The cubic root of 209084064 is about 593.5267688398.

The spelling of 209084064 in words is "two hundred nine million, eighty-four thousand, sixty-four".