206181440 has 112 divisors (see below), whose sum is σ = 525377664. Its totient is φ = 76800000.

The previous prime is 206181439. The next prime is 206181449. The reversal of 206181440 is 44181602.

It is not an unprimeable number, because it can be changed into a prime (206181449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 821315 + ... + 821565.

It is an arithmetic number, because the mean of its divisors is an integer number (4690872).

Almost surely, 2^206181440 is an apocalyptic number.

206181440 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 206181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262688832).

206181440 is an abundant number, since it is smaller than the sum of its proper divisors (319196224).

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

206181440 is a wasteful number, since it uses less digits than its factorization.

206181440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 206181440 is about 14359.0194651306. The cubic root of 206181440 is about 590.7674013087.

The spelling of 206181440 in words is "two hundred six million, one hundred eighty-one thousand, four hundred forty".