208001664 has 384 divisors, whose sum is σ = 735134400. Its totient is φ = 55738368.

The previous prime is 208001657. The next prime is 208001713. The reversal of 208001664 is 466100802.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4837227 + ... + 4837269.

Almost surely, 2^208001664 is an apocalyptic number.

208001664 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 208001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367567200).

208001664 is an abundant number, since it is smaller than the sum of its proper divisors (527132736).

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

208001664 is a wasteful number, since it uses less digits than its factorization.

208001664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 208001664 is about 14422.2627905610. The cubic root of 208001664 is about 592.5007936752.

The spelling of 208001664 in words is "two hundred eight million, one thousand, six hundred sixty-four".