209993652 has 72 divisors (see below), whose sum is σ = 586141920. Its totient is φ = 62857920.

The previous prime is 209993629. The next prime is 209993683. The reversal of 209993652 is 256399902.

209993652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 209993598 and 209993607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29674 + ... + 36062.

It is an arithmetic number, because the mean of its divisors is an integer number (8140860).

Almost surely, 2^209993652 is an apocalyptic number.

209993652 is a gapful number since it is divisible by the number (22) 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 209993652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293070960).

209993652 is an abundant number, since it is smaller than the sum of its proper divisors (376148268).

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

209993652 is a wasteful number, since it uses less digits than its factorization.

209993652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6493 (or 6488 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 209993652 is about 14491.1577177257. The cubic root of 209993652 is about 594.3862060070.

The spelling of 209993652 in words is "two hundred nine million, nine hundred ninety-three thousand, six hundred fifty-two".