208264960 has 108 divisors (see below), whose sum is σ = 530871768. Its totient is φ = 78266368.

The previous prime is 208264957. The next prime is 208264961. The reversal of 208264960 is 69462802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208264961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 369639 + ... + 370201.

Almost surely, 2^208264960 is an apocalyptic number.

208264960 is a gapful number since it is divisible by the number (20) 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 208264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265435884).

208264960 is an abundant number, since it is smaller than the sum of its proper divisors (322606808).

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

208264960 is an equidigital number, since it uses as much as digits as its factorization.

208264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 208264960 is about 14431.3880136320. The cubic root of 208264960 is about 592.7506912120.

The spelling of 208264960 in words is "two hundred eight million, two hundred sixty-four thousand, nine hundred sixty".