208505340 has 240 divisors, whose sum is σ = 709121952. Its totient is φ = 51093504.

The previous prime is 208505333. The next prime is 208505393. The reversal of 208505340 is 43505802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1845124 + ... + 1845236.

Almost surely, 2^208505340 is an apocalyptic number.

208505340 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 208505340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354560976).

208505340 is an abundant number, since it is smaller than the sum of its proper divisors (500616612).

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

208505340 is a wasteful number, since it uses less digits than its factorization.

208505340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 208505340 is about 14439.7139860871. The cubic root of 208505340 is about 592.9786550315.

The spelling of 208505340 in words is "two hundred eight million, five hundred five thousand, three hundred forty".