165941568 has 224 divisors, whose sum is σ = 537667200. Its totient is φ = 49876992.

The previous prime is 165941557. The next prime is 165941579. The reversal of 165941568 is 865149561.

165941568 is a `hidden beast` number, since 1 + 6 + 594 + 1 + 56 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (165941557) and next prime (165941579).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1864468 + ... + 1864556.

It is an arithmetic number, because the mean of its divisors is an integer number (2400300).

Almost surely, 2^165941568 is an apocalyptic number.

165941568 is a gapful number since it is divisible by the number (18) 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 165941568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268833600).

165941568 is an abundant number, since it is smaller than the sum of its proper divisors (371725632).

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

165941568 is a wasteful number, since it uses less digits than its factorization.

165941568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 165941568 is about 12881.8309257652. The cubic root of 165941568 is about 549.5219736298.

The spelling of 165941568 in words is "one hundred sixty-five million, nine hundred forty-one thousand, five hundred sixty-eight".