208904940 has 96 divisors (see below), whose sum is σ = 652700160. Its totient is φ = 55470528.

The previous prime is 208904921. The next prime is 208904953. The reversal of 208904940 is 49409802.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 208904895 and 208904904.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152137 + ... + 153503.

It is an arithmetic number, because the mean of its divisors is an integer number (6798960).

Almost surely, 2^208904940 is an apocalyptic number.

208904940 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 208904940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326350080).

208904940 is an abundant number, since it is smaller than the sum of its proper divisors (443795220).

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

208904940 is a wasteful number, since it uses less digits than its factorization.

208904940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 208904940 is about 14453.5442020288. The cubic root of 208904940 is about 593.3572273619.

The spelling of 208904940 in words is "two hundred eight million, nine hundred four thousand, nine hundred forty".