208985040 has 120 divisors (see below), whose sum is σ = 765674208. Its totient is φ = 50661120.

The previous prime is 208985033. The next prime is 208985041. The reversal of 208985040 is 40589802.

208985040 is digitally balanced in base 3, 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 (120).

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 = 208984986 and 208985004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208985041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5274 + ... + 21113.

Almost surely, 2^208985040 is an apocalyptic number.

208985040 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 208985040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382837104).

208985040 is an abundant number, since it is smaller than the sum of its proper divisors (556689168).

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

208985040 is a wasteful number, since it uses less digits than its factorization.

208985040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26417 (or 26408 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 208985040 is about 14456.3148831229. The cubic root of 208985040 is about 593.4330542598.

The spelling of 208985040 in words is "two hundred eight million, nine hundred eighty-five thousand, forty".