206523264 has 64 divisors (see below), whose sum is σ = 560298240. Its totient is φ = 67370496.

The previous prime is 206523257. The next prime is 206523269. The reversal of 206523264 is 462325602.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206523269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12327 + ... + 23769.

It is an arithmetic number, because the mean of its divisors is an integer number (8754660).

Almost surely, 2^206523264 is an apocalyptic number.

206523264 is a gapful number since it is divisible by the number (24) 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 206523264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280149120).

206523264 is an abundant number, since it is smaller than the sum of its proper divisors (353774976).

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

206523264 is a wasteful number, since it uses less digits than its factorization.

206523264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11507 (or 11495 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 206523264 is about 14370.9172984886. The cubic root of 206523264 is about 591.0936947945.

Adding to 206523264 its reverse (462325602), we get a palindrome (668848866).

The spelling of 206523264 in words is "two hundred six million, five hundred twenty-three thousand, two hundred sixty-four".