208006440 has 64 divisors (see below), whose sum is σ = 630115200. Its totient is φ = 54926592.

The previous prime is 208006429. The next prime is 208006451. The reversal of 208006440 is 44600802.

208006440 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 (208006429) and next prime (208006451).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 208006440.

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, 3946 + ... + 20774.

It is an arithmetic number, because the mean of its divisors is an integer number (9845550).

Almost surely, 2^208006440 is an apocalyptic number.

208006440 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 208006440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315057600).

208006440 is an abundant number, since it is smaller than the sum of its proper divisors (422108760).

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

208006440 is a wasteful number, since it uses less digits than its factorization.

208006440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16946 (or 16942 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 208006440 is about 14422.4283669568. The cubic root of 208006440 is about 592.5053285141.

The spelling of 208006440 in words is "two hundred eight million, six thousand, four hundred forty".