208013008 has 80 divisors (see below), whose sum is σ = 477719424. Its totient is φ = 85893120.

The previous prime is 208012997. The next prime is 208013011. The reversal of 208013008 is 800310802.

It is a super-2 number, since 2×208013008² = 86538822994416128, which contains 22 as substring.

208013008 is a modest number, since divided by 13008 gives 2080 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 208013008.

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 15 ways as a sum of consecutive naturals, for example, 445191 + ... + 445657.

Almost surely, 2^208013008 is an apocalyptic number.

208013008 is a gapful number since it is divisible by the number (28) 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 208013008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238859712).

208013008 is an abundant number, since it is smaller than the sum of its proper divisors (269706416).

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

208013008 is a wasteful number, since it uses less digits than its factorization.

208013008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 208013008 is about 14422.6560660649. The cubic root of 208013008 is about 592.5115647538.

The spelling of 208013008 in words is "two hundred eight million, thirteen thousand, eight".