205916040 has 128 divisors (see below), whose sum is σ = 748828800. Its totient is φ = 49916160.

The previous prime is 205916021. The next prime is 205916041. The reversal of 205916040 is 40619502.

205916040 is a `hidden beast` number, since 2 + 0 + 59 + 1 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 205915995 and 205916013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205916041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3214 + ... + 20546.

It is an arithmetic number, because the mean of its divisors is an integer number (5850225).

Almost surely, 2^205916040 is an apocalyptic number.

205916040 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 205916040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374414400).

205916040 is an abundant number, since it is smaller than the sum of its proper divisors (542912760).

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

205916040 is a wasteful number, since it uses less digits than its factorization.

205916040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17364 (or 17354 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 205916040 is about 14349.7749111267. The cubic root of 205916040 is about 590.5138107648.

The spelling of 205916040 in words is "two hundred five million, nine hundred sixteen thousand, forty".