206157840 has 240 divisors, whose sum is σ = 758891904. Its totient is φ = 45342720.

The previous prime is 206157829. The next prime is 206157851. The reversal of 206157840 is 48751602.

206157840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (206157829) and next prime (206157851).

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2824044 + ... + 2824116.

Almost surely, 2^206157840 is an apocalyptic number.

206157840 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 206157840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379445952).

206157840 is an abundant number, since it is smaller than the sum of its proper divisors (552734064).

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

206157840 is a wasteful number, since it uses less digits than its factorization.

206157840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 206157840 is about 14358.1976584807. The cubic root of 206157840 is about 590.7448602519.

The spelling of 206157840 in words is "two hundred six million, one hundred fifty-seven thousand, eight hundred forty".