206148880 has 120 divisors (see below), whose sum is σ = 570981312. Its totient is φ = 68979456.

The previous prime is 206148869. The next prime is 206148881. The reversal of 206148880 is 88841602.

It is not an unprimeable number, because it can be changed into a prime (206148881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167949 + ... + 169171.

Almost surely, 2^206148880 is an apocalyptic number.

206148880 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 206148880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285490656).

206148880 is an abundant number, since it is smaller than the sum of its proper divisors (364832432).

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

206148880 is a wasteful number, since it uses less digits than its factorization.

206148880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 206148880 is about 14357.8856382129. The cubic root of 206148880 is about 590.7363018408.

The spelling of 206148880 in words is "two hundred six million, one hundred forty-eight thousand, eight hundred eighty".