205827840 has 216 divisors, whose sum is σ = 754751088. Its totient is φ = 51609600.

The previous prime is 205827829. The next prime is 205827859. The reversal of 205827840 is 48728502.

It is a happy number.

205827840 is a `hidden beast` number, since 2 + 0 + 582 + 78 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 205827795 and 205827804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195315 + ... + 196365.

It is an arithmetic number, because the mean of its divisors is an integer number (3494218).

Almost surely, 2^205827840 is an apocalyptic number.

205827840 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 205827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377375544).

205827840 is an abundant number, since it is smaller than the sum of its proper divisors (548923248).

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

205827840 is a wasteful number, since it uses less digits than its factorization.

205827840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 205827840 is about 14346.7013630312. The cubic root of 205827840 is about 590.4294871473.

The spelling of 205827840 in words is "two hundred five million, eight hundred twenty-seven thousand, eight hundred forty".