209883648 has 160 divisors (see below), whose sum is σ = 629709696. Its totient is φ = 61636608.

The previous prime is 209883631. The next prime is 209883673. The reversal of 209883648 is 846388902.

It is a happy number.

It is a super-2 number, since 2×209883648² = 88102291395575808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 209883597 and 209883606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 459036 + ... + 459492.

Almost surely, 2^209883648 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 209883648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314854848).

209883648 is an abundant number, since it is smaller than the sum of its proper divisors (419826048).

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

209883648 is a wasteful number, since it uses less digits than its factorization.

209883648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 209883648 is about 14487.3616645682. The cubic root of 209883648 is about 594.2823992489.

The spelling of 209883648 in words is "two hundred nine million, eight hundred eighty-three thousand, six hundred forty-eight".