208068480 has 128 divisors (see below), whose sum is σ = 736970400. Its totient is φ = 55480320.

The previous prime is 208068451. The next prime is 208068527. The reversal of 208068480 is 84860802.

208068480 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 (128).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11260 + ... + 23300.

Almost surely, 2^208068480 is an apocalyptic number.

208068480 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 208068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368485200).

208068480 is an abundant number, since it is smaller than the sum of its proper divisors (528901920).

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

208068480 is a wasteful number, since it uses less digits than its factorization.

208068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12069 (or 12051 counting only the distinct ones).

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

The square root of 208068480 is about 14424.5790233199. The cubic root of 208068480 is about 592.5642295376.

The spelling of 208068480 in words is "two hundred eight million, sixty-eight thousand, four hundred eighty".