208076640 has 192 divisors, whose sum is σ = 684573120. Its totient is φ = 53084160.

The previous prime is 208076639. The next prime is 208076663. The reversal of 208076640 is 46670802.

It is a super-2 number, since 2×208076640² = 86591776227379200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1908906 + ... + 1909014.

It is an arithmetic number, because the mean of its divisors is an integer number (3565485).

Almost surely, 2^208076640 is an apocalyptic number.

208076640 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 208076640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342286560).

208076640 is an abundant number, since it is smaller than the sum of its proper divisors (476496480).

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

208076640 is a wasteful number, since it uses less digits than its factorization.

208076640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 208076640 is about 14424.8618710891. The cubic root of 208076640 is about 592.5719758028.

The spelling of 208076640 in words is "two hundred eight million, seventy-six thousand, six hundred forty".