663398208 has 224 divisors, whose sum is σ = 2253813120. Its totient is φ = 189112320.

The previous prime is 663398207. The next prime is 663398237. The reversal of 663398208 is 802893366.

663398208 is a `hidden beast` number, since 6 + 633 + 9 + 8 + 2 + 0 + 8 = 666.

It is a super-2 number, since 2×663398208² = 880194364755222528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663398201) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 322110 + ... + 324162.

Almost surely, 2^663398208 is an apocalyptic number.

663398208 is a gapful number since it is divisible by the number (68) 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 663398208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126906560).

663398208 is an abundant number, since it is smaller than the sum of its proper divisors (1590414912).

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

663398208 is a wasteful number, since it uses less digits than its factorization.

663398208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 663398208 is about 25756.5177770598. The cubic root of 663398208 is about 872.1504944642.

It can be divided in two parts, 66339 and 8208, that added together give a palindrome (74547).

The spelling of 663398208 in words is "six hundred sixty-three million, three hundred ninety-eight thousand, two hundred eight".