208496512 has 64 divisors (see below), whose sum is σ = 484899840. Its totient is φ = 87436800.

The previous prime is 208496503. The next prime is 208496539. The reversal of 208496512 is 215694802.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×208496512² = 86941591032332288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39637 + ... + 44587.

It is an arithmetic number, because the mean of its divisors is an integer number (7576560).

Almost surely, 2^208496512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208496512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242449920).

208496512 is an abundant number, since it is smaller than the sum of its proper divisors (276403328).

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

208496512 is an equidigital number, since it uses as much as digits as its factorization.

208496512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5019 (or 5007 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 208496512 is about 14439.4082981263. The cubic root of 208496512 is about 592.9702861180.

It can be divided in two parts, 20849651 and 2, that added together give a triangular number (20849653 = T₆₄₅₇).

The spelling of 208496512 in words is "two hundred eight million, four hundred ninety-six thousand, five hundred twelve".