208319040 has 392 divisors, whose sum is σ = 799551360. Its totient is φ = 51508224.

The previous prime is 208318997. The next prime is 208319051. The reversal of 208319040 is 40913802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 208318995 and 208319013.

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 55 ways as a sum of consecutive naturals, for example, 4432297 + ... + 4432343.

Almost surely, 2^208319040 is an apocalyptic number.

208319040 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 208319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399775680).

208319040 is an abundant number, since it is smaller than the sum of its proper divisors (591232320).

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

208319040 is an equidigital number, since it uses as much as digits as its factorization.

208319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 208319040 is about 14433.2615856569. The cubic root of 208319040 is about 592.8019931419.

The spelling of 208319040 in words is "two hundred eight million, three hundred nineteen thousand, forty".