205612680 has 256 divisors, whose sum is σ = 799948800. Its totient is φ = 41057280.

The previous prime is 205612679. The next prime is 205612717. The reversal of 205612680 is 86216502.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206985 + ... + 207975.

It is an arithmetic number, because the mean of its divisors is an integer number (3124800).

Almost surely, 2^205612680 is an apocalyptic number.

205612680 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 205612680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399974400).

205612680 is an abundant number, since it is smaller than the sum of its proper divisors (594336120).

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

205612680 is a wasteful number, since it uses less digits than its factorization.

205612680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 205612680 is about 14339.2008145503. The cubic root of 205612680 is about 590.2236823030.

The spelling of 205612680 in words is "two hundred five million, six hundred twelve thousand, six hundred eighty".