208083264 has 112 divisors (see below), whose sum is σ = 599041728. Its totient is φ = 63479808.

The previous prime is 208083257. The next prime is 208083329. The reversal of 208083264 is 462380802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119907 + ... + 121629.

Almost surely, 2^208083264 is an apocalyptic number.

208083264 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 208083264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299520864).

208083264 is an abundant number, since it is smaller than the sum of its proper divisors (390958464).

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

208083264 is a wasteful number, since it uses less digits than its factorization.

208083264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 208083264 is about 14425.0914728469. The cubic root of 208083264 is about 592.5782637986.

It can be divided in two parts, 20808 and 3264, that multiplied together give a cube (67917312 = 408³).

The spelling of 208083264 in words is "two hundred eight million, eighty-three thousand, two hundred sixty-four".