206140480 has 112 divisors (see below), whose sum is σ = 604235520. Its totient is φ = 65230848.

The previous prime is 206140463. The next prime is 206140523. The reversal of 206140480 is 84041602.

It is a tau number, because it is divible by the number of its divisors (112).

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, 25581 + ... + 32659.

It is an arithmetic number, because the mean of its divisors is an integer number (5394960).

Almost surely, 2^206140480 is an apocalyptic number.

206140480 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 206140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302117760).

206140480 is an abundant number, since it is smaller than the sum of its proper divisors (398095040).

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

206140480 is a wasteful number, since it uses less digits than its factorization.

206140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7116 (or 7106 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 206140480 is about 14357.5931130535. The cubic root of 206140480 is about 590.7282781051.

The spelling of 206140480 in words is "two hundred six million, one hundred forty thousand, four hundred eighty".