206164560 has 240 divisors, whose sum is σ = 761308416. Its totient is φ = 45997056.

The previous prime is 206164547. The next prime is 206164583. The reversal of 206164560 is 65461602.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 552534 + ... + 552906.

Almost surely, 2^206164560 is an apocalyptic number.

206164560 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 206164560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380654208).

206164560 is an abundant number, since it is smaller than the sum of its proper divisors (555143856).

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

206164560 is a wasteful number, since it uses less digits than its factorization.

206164560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 206164560 is about 14358.4316692318. The cubic root of 206164560 is about 590.7512788974.

The spelling of 206164560 in words is "two hundred six million, one hundred sixty-four thousand, five hundred sixty".