209920032 has 192 divisors, whose sum is σ = 712454400. Its totient is φ = 58890240.

The previous prime is 209920027. The next prime is 209920099. The reversal of 209920032 is 230029902.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 209919978 and 209920005.

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 31 ways as a sum of consecutive naturals, for example, 368644 + ... + 369212.

It is an arithmetic number, because the mean of its divisors is an integer number (3710700).

Almost surely, 2^209920032 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 209920032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356227200).

209920032 is an abundant number, since it is smaller than the sum of its proper divisors (502534368).

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

209920032 is a wasteful number, since it uses less digits than its factorization.

209920032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 209920032 is about 14488.6173253351. The cubic root of 209920032 is about 594.3167375147.

Adding to 209920032 its reverse (230029902), we get a palindrome (439949934).

The spelling of 209920032 in words is "two hundred nine million, nine hundred twenty thousand, thirty-two".