208593968 has 40 divisors (see below), whose sum is σ = 443758800. Its totient is φ = 94199040.

The previous prime is 208593919. The next prime is 208593971. The reversal of 208593968 is 869395802.

It is a super-2 number, since 2×208593968² = 87022886971970048, which contains 22 as substring.

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, 23858 + ... + 31406.

It is an arithmetic number, because the mean of its divisors is an integer number (11093970).

Almost surely, 2^208593968 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 208593968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221879400).

208593968 is an abundant number, since it is smaller than the sum of its proper divisors (235164832).

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

208593968 is a wasteful number, since it uses less digits than its factorization.

208593968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7725 (or 7719 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 50.

The square root of 208593968 is about 14442.7825573883. The cubic root of 208593968 is about 593.0626609817.

The spelling of 208593968 in words is "two hundred eight million, five hundred ninety-three thousand, nine hundred sixty-eight".