208193040 has 240 divisors, whose sum is σ = 773450496. Its totient is φ = 49766400.

The previous prime is 208193021. The next prime is 208193093. The reversal of 208193040 is 40391802.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 208192995 and 208193013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 768105 + ... + 768375.

Almost surely, 2^208193040 is an apocalyptic number.

208193040 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 208193040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386725248).

208193040 is an abundant number, since it is smaller than the sum of its proper divisors (565257456).

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

208193040 is a wasteful number, since it uses less digits than its factorization.

208193040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 389 counting only the distinct ones).

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

The square root of 208193040 is about 14428.8960076646. The cubic root of 208193040 is about 592.6824519558.

The spelling of 208193040 in words is "two hundred eight million, one hundred ninety-three thousand, forty".