165795840 has 288 divisors, whose sum is σ = 659262240. Its totient is φ = 37748736.

The previous prime is 165795811. The next prime is 165795859. The reversal of 165795840 is 48597561.

165795840 is a `hidden beast` number, since 1 + 65 + 7 + 9 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×165795840² = 54976521122611200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 644992 + ... + 645248.

It is an arithmetic number, because the mean of its divisors is an integer number (2289105).

Almost surely, 2^165795840 is an apocalyptic number.

165795840 is a gapful number since it is divisible by the number (10) 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 165795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329631120).

165795840 is an abundant number, since it is smaller than the sum of its proper divisors (493466400).

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

165795840 is a wasteful number, since it uses less digits than its factorization.

165795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 165795840 is about 12876.1733445927. The cubic root of 165795840 is about 549.3610651996.

The spelling of 165795840 in words is "one hundred sixty-five million, seven hundred ninety-five thousand, eight hundred forty".