206261540 has 48 divisors (see below), whose sum is σ = 445101888. Its totient is φ = 80244864.

The previous prime is 206261519. The next prime is 206261567. The reversal of 206261540 is 45162602.

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, 320459 + ... + 321101.

It is an arithmetic number, because the mean of its divisors is an integer number (9272956).

Almost surely, 2^206261540 is an apocalyptic number.

206261540 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 206261540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222550944).

206261540 is an abundant number, since it is smaller than the sum of its proper divisors (238840348).

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

206261540 is a wasteful number, since it uses less digits than its factorization.

206261540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 206261540 is about 14361.8083819552. The cubic root of 206261540 is about 590.8438943598.

The spelling of 206261540 in words is "two hundred six million, two hundred sixty-one thousand, five hundred forty".