205774140 has 192 divisors, whose sum is σ = 701084160. Its totient is φ = 44405760.

The previous prime is 205774109. The next prime is 205774189. The reversal of 205774140 is 41477502.

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

It is a junction number, because it is equal to n+sod(n) for n = 205774098 and 205774107.

It is a congruent number.

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, 248407 + ... + 249233.

It is an arithmetic number, because the mean of its divisors is an integer number (3651480).

Almost surely, 2^205774140 is an apocalyptic number.

205774140 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 205774140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350542080).

205774140 is an abundant number, since it is smaller than the sum of its proper divisors (495310020).

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

205774140 is a wasteful number, since it uses less digits than its factorization.

205774140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 205774140 is about 14344.8297306033. The cubic root of 205774140 is about 590.3781354591.

The spelling of 205774140 in words is "two hundred five million, seven hundred seventy-four thousand, one hundred forty".