165659040 has 192 divisors, whose sum is σ = 598993920. Its totient is φ = 42716160.

The previous prime is 165659023. The next prime is 165659047. The reversal of 165659040 is 40956561.

165659040 is a `hidden beast` number, since 1 + 6 + 565 + 90 + 4 + 0 = 666.

165659040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 165658986 and 165659004.

It is not an unprimeable number, because it can be changed into a prime (165659047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133302 + ... + 134538.

It is an arithmetic number, because the mean of its divisors is an integer number (3119760).

Almost surely, 2^165659040 is an apocalyptic number.

165659040 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 165659040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299496960).

165659040 is an abundant number, since it is smaller than the sum of its proper divisors (433334880).

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

165659040 is a wasteful number, since it uses less digits than its factorization.

165659040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 165659040 is about 12870.8601111192. The cubic root of 165659040 is about 549.2099289730.

The spelling of 165659040 in words is "one hundred sixty-five million, six hundred fifty-nine thousand, forty".