208733364 has 72 divisors (see below), whose sum is σ = 604647680. Its totient is φ = 59476032.

The previous prime is 208733359. The next prime is 208733401. The reversal of 208733364 is 463337802.

208733364 = 427² + 428² + ... + 889².

208733364 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×208733364⁴ (a number of 34 digits) contains 4444 as substring.

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

208733364 is strictly pandigital in base 9.

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 23 ways as a sum of consecutive naturals, for example, 115782 + ... + 117570.

Almost surely, 2^208733364 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 208733364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302323840).

208733364 is an abundant number, since it is smaller than the sum of its proper divisors (395914316).

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

208733364 is a wasteful number, since it uses less digits than its factorization.

208733364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 208733364 is about 14447.6075528096. The cubic root of 208733364 is about 593.1947391926.

The spelling of 208733364 in words is "two hundred eight million, seven hundred thirty-three thousand, three hundred sixty-four".