205888140 has 72 divisors (see below), whose sum is σ = 632097648. Its totient is φ = 54238080.

The previous prime is 205888117. The next prime is 205888169. The reversal of 205888140 is 41888502.

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 = 205888095 and 205888104.

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, 8050 + ... + 21830.

It is an arithmetic number, because the mean of its divisors is an integer number (8779134).

Almost surely, 2^205888140 is an apocalyptic number.

205888140 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 205888140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316048824).

205888140 is an abundant number, since it is smaller than the sum of its proper divisors (426209508).

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

205888140 is a wasteful number, since it uses less digits than its factorization.

205888140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13879 (or 13874 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 205888140 is about 14348.8027375109. The cubic root of 205888140 is about 590.4871395716.

The spelling of 205888140 in words is "two hundred five million, eight hundred eighty-eight thousand, one hundred forty".