206481920 has 40 divisors (see below), whose sum is σ = 495078804. Its totient is φ = 82591744.

The previous prime is 206481817. The next prime is 206481923. The reversal of 206481920 is 29184602.

It can be written as a sum of positive squares in 2 ways, for example, as 186267904 + 20214016 = 13648^2 + 4496^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (206481923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37769 + ... + 42888.

Almost surely, 2^206481920 is an apocalyptic number.

206481920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206481920 is an abundant number, since it is smaller than the sum of its proper divisors (288596884).

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

206481920 is an frugal number, since it uses more digits than its factorization.

206481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80680 (or 80664 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 206481920 is about 14369.4787657730. The cubic root of 206481920 is about 591.0542483770.

The spelling of 206481920 in words is "two hundred six million, four hundred eighty-one thousand, nine hundred twenty".