208871040 has 128 divisors (see below), whose sum is σ = 760936320. Its totient is φ = 47738880.

The previous prime is 208871017. The next prime is 208871041. The reversal of 208871040 is 40178802.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×208871040² = 87254222701363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 208870989 and 208871007.

It is not an unprimeable number, because it can be changed into a prime (208871041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5670 + ... + 21210.

It is an arithmetic number, because the mean of its divisors is an integer number (5944815).

Almost surely, 2^208871040 is an apocalyptic number.

208871040 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 208871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380468160).

208871040 is an abundant number, since it is smaller than the sum of its proper divisors (552065280).

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

208871040 is a wasteful number, since it uses less digits than its factorization.

208871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15570 (or 15558 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 208871040 is about 14452.3714317063. The cubic root of 208871040 is about 593.3251299908.

The spelling of 208871040 in words is "two hundred eight million, eight hundred seventy-one thousand, forty".