205606560 has 96 divisors (see below), whose sum is σ = 651551040. Its totient is φ = 54499328.

The previous prime is 205606537. The next prime is 205606561. The reversal of 205606560 is 65606502.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (205606561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84724 + ... + 87116.

It is an arithmetic number, because the mean of its divisors is an integer number (6786990).

Almost surely, 2^205606560 is an apocalyptic number.

205606560 is a gapful number since it is divisible by the number (20) 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 205606560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325775520).

205606560 is an abundant number, since it is smaller than the sum of its proper divisors (445944480).

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

205606560 is a wasteful number, since it uses less digits than its factorization.

205606560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 205606560 is about 14338.9874119479. The cubic root of 205606560 is about 590.2178263010.

The spelling of 205606560 in words is "two hundred five million, six hundred six thousand, five hundred sixty".