165810960 has 240 divisors, whose sum is σ = 643458816. Its totient is φ = 37481472.

The previous prime is 165810943. The next prime is 165810961. The reversal of 165810960 is 69018561.

165810960 is a `hidden beast` number, since 16 + 581 + 0 + 9 + 60 = 666.

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

It is a super-3 number, since 3×165810960³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (165810961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 841582 + ... + 841778.

Almost surely, 2^165810960 is an apocalyptic number.

165810960 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 165810960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321729408).

165810960 is an abundant number, since it is smaller than the sum of its proper divisors (477647856).

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

165810960 is a wasteful number, since it uses less digits than its factorization.

165810960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 165810960 is about 12876.7604621659. The cubic root of 165810960 is about 549.3777646271.

The spelling of 165810960 in words is "one hundred sixty-five million, eight hundred ten thousand, nine hundred sixty".