208894140 has 360 divisors, whose sum is σ = 818405280. Its totient is φ = 43670016.

The previous prime is 208894123. The next prime is 208894157. The reversal of 208894140 is 41498802.

It is an interprime number because it is at equal distance from previous prime (208894123) and next prime (208894157).

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 = 208894095 and 208894104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1916406 + ... + 1916514.

It is an arithmetic number, because the mean of its divisors is an integer number (2273348).

Almost surely, 2^208894140 is an apocalyptic number.

208894140 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 208894140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409202640).

208894140 is an abundant number, since it is smaller than the sum of its proper divisors (609511140).

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

208894140 is a wasteful number, since it uses less digits than its factorization.

208894140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 208894140 is about 14453.1705864146. The cubic root of 208894140 is about 593.3470020277.

The spelling of 208894140 in words is "two hundred eight million, eight hundred ninety-four thousand, one hundred forty".