208944864 has 72 divisors (see below), whose sum is σ = 601414632. Its totient is φ = 68801280.

The previous prime is 208944859. The next prime is 208944877. The reversal of 208944864 is 468449802.

208944864 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 (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19534 + ... + 28274.

It is an arithmetic number, because the mean of its divisors is an integer number (8352981).

Almost surely, 2^208944864 is an apocalyptic number.

208944864 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 208944864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300707316).

208944864 is an abundant number, since it is smaller than the sum of its proper divisors (392469768).

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

208944864 is a wasteful number, since it uses less digits than its factorization.

208944864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8840 (or 8829 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 208944864 is about 14454.9252505850. The cubic root of 208944864 is about 593.3950239550.

The spelling of 208944864 in words is "two hundred eight million, nine hundred forty-four thousand, eight hundred sixty-four".