206591040 has 112 divisors (see below), whose sum is σ = 728837760. Its totient is φ = 55088640.

The previous prime is 206591039. The next prime is 206591051. The reversal of 206591040 is 40195602.

206591040 is a `hidden beast` number, since 2 + 0 + 659 + 1 + 0 + 4 + 0 = 666.

206591040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 206590995 and 206591013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3316 + ... + 20595.

It is an arithmetic number, because the mean of its divisors is an integer number (6507480).

Almost surely, 2^206591040 is an apocalyptic number.

206591040 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 206591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364418880).

206591040 is an abundant number, since it is smaller than the sum of its proper divisors (522246720).

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

206591040 is a wasteful number, since it uses less digits than its factorization.

206591040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23937 (or 23921 counting only the distinct ones).

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

The square root of 206591040 is about 14373.2752008719. The cubic root of 206591040 is about 591.1583486642.

The spelling of 206591040 in words is "two hundred six million, five hundred ninety-one thousand, forty".