206513664 has 80 divisors (see below), whose sum is σ = 628793088. Its totient is φ = 59000832.

The previous prime is 206513651. The next prime is 206513677. The reversal of 206513664 is 466315602.

It is an interprime number because it is at equal distance from previous prime (206513651) and next prime (206513677).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1149 + ... + 20355.

Almost surely, 2^206513664 is an apocalyptic number.

206513664 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 206513664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314396544).

206513664 is an abundant number, since it is smaller than the sum of its proper divisors (422279424).

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

206513664 is an equidigital number, since it uses as much as digits as its factorization.

206513664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19235 (or 19219 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 206513664 is about 14370.5832867006. The cubic root of 206513664 is about 591.0845358789.

The spelling of 206513664 in words is "two hundred six million, five hundred thirteen thousand, six hundred sixty-four".