205520640 has 288 divisors, whose sum is σ = 741726720. Its totient is φ = 48119808.

The previous prime is 205520639. The next prime is 205520729. The reversal of 205520640 is 46025502.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 205520640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1148071 + ... + 1148249.

It is an arithmetic number, because the mean of its divisors is an integer number (2575440).

Almost surely, 2^205520640 is an apocalyptic number.

205520640 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 205520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370863360).

205520640 is an abundant number, since it is smaller than the sum of its proper divisors (536206080).

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

205520640 is a wasteful number, since it uses less digits than its factorization.

205520640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 205520640 is about 14335.9910714258. The cubic root of 205520640 is about 590.1356003559.

The spelling of 205520640 in words is "two hundred five million, five hundred twenty thousand, six hundred forty".