206309040 has 160 divisors (see below), whose sum is σ = 750904320. Its totient is φ = 45868032.

The previous prime is 206309039. The next prime is 206309083. The reversal of 206309040 is 40903602.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 206309040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60501 + ... + 63819.

It is an arithmetic number, because the mean of its divisors is an integer number (4693152).

Almost surely, 2^206309040 is an apocalyptic number.

206309040 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 206309040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375452160).

206309040 is an abundant number, since it is smaller than the sum of its proper divisors (544595280).

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

206309040 is a wasteful number, since it uses less digits than its factorization.

206309040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 206309040 is about 14363.4619782280. The cubic root of 206309040 is about 590.8892460540.

The spelling of 206309040 in words is "two hundred six million, three hundred nine thousand, forty".