206156160 has 192 divisors, whose sum is σ = 813739680. Its totient is φ = 47112192.

The previous prime is 206156057. The next prime is 206156173. The reversal of 206156160 is 61651602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37764 + ... + 42876.

Almost surely, 2^206156160 is an apocalyptic number.

206156160 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 206156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406869840).

206156160 is an abundant number, since it is smaller than the sum of its proper divisors (607583520).

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

206156160 is a wasteful number, since it uses less digits than its factorization.

206156160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5145 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 206156160 is about 14358.1391551970. The cubic root of 206156160 is about 590.7432555687.

The spelling of 206156160 in words is "two hundred six million, one hundred fifty-six thousand, one hundred sixty".