208135680 has 160 divisors (see below), whose sum is σ = 682643808. Its totient is φ = 54067200.

The previous prime is 208135679. The next prime is 208135703. The reversal of 208135680 is 86531802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×208135680² = 86640922578124800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314550 + ... + 315210.

Almost surely, 2^208135680 is an apocalyptic number.

208135680 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 208135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341321904).

208135680 is an abundant number, since it is smaller than the sum of its proper divisors (474508128).

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

208135680 is an equidigital number, since it uses as much as digits as its factorization.

208135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 208135680 is about 14426.9081926794. The cubic root of 208135680 is about 592.6280162775.

The spelling of 208135680 in words is "two hundred eight million, one hundred thirty-five thousand, six hundred eighty".