209701968 has 160 divisors (see below), whose sum is σ = 647577600. Its totient is φ = 58423680.

The previous prime is 209701963. The next prime is 209701991. The reversal of 209701968 is 869107902.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209701963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 773673 + ... + 773943.

It is an arithmetic number, because the mean of its divisors is an integer number (4047360).

Almost surely, 2^209701968 is an apocalyptic number.

209701968 is a gapful number since it is divisible by the number (28) 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 209701968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323788800).

209701968 is an abundant number, since it is smaller than the sum of its proper divisors (437875632).

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

209701968 is a wasteful number, since it uses less digits than its factorization.

209701968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 209701968 is about 14481.0900142220. The cubic root of 209701968 is about 594.1108750166.

The spelling of 209701968 in words is "two hundred nine million, seven hundred one thousand, nine hundred sixty-eight".