206132664 has 64 divisors (see below), whose sum is σ = 529251840. Its totient is φ = 66879360.

The previous prime is 206132657. The next prime is 206132683. The reversal of 206132664 is 466231602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150109 + ... + 151475.

It is an arithmetic number, because the mean of its divisors is an integer number (8269560).

Almost surely, 2^206132664 is an apocalyptic number.

206132664 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 206132664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264625920).

206132664 is an abundant number, since it is smaller than the sum of its proper divisors (323119176).

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

206132664 is a wasteful number, since it uses less digits than its factorization.

206132664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 206132664 is about 14357.3209200045. The cubic root of 206132664 is about 590.7208120144.

It can be divided in two parts, 206 and 132664, that added together give a triangular number (132870 = T₅₁₅).

The spelling of 206132664 in words is "two hundred six million, one hundred thirty-two thousand, six hundred sixty-four".