208080864 has 72 divisors (see below), whose sum is σ = 596494080. Its totient is φ = 68802048.

The previous prime is 208080857. The next prime is 208080871. The reversal of 208080864 is 468080802.

208080864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (208080857) and next prime (208080871).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a zygodrome in base 2.

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, 33732 + ... + 39420.

It is an arithmetic number, because the mean of its divisors is an integer number (8284640).

Almost surely, 2^208080864 is an apocalyptic number.

208080864 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 208080864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298247040).

208080864 is an abundant number, since it is smaller than the sum of its proper divisors (388413216).

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

208080864 is a wasteful number, since it uses less digits than its factorization.

208080864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5832 (or 5821 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 208080864 is about 14425.0082842264. The cubic root of 208080864 is about 592.5759855547.

It can be divided in two parts, 2080 and 80864, that added together give a square (82944 = 288²).

The spelling of 208080864 in words is "two hundred eight million, eighty thousand, eight hundred sixty-four".