165623040 has 216 divisors, whose sum is σ = 625611168. Its totient is φ = 40120320.

The previous prime is 165623021. The next prime is 165623041. The reversal of 165623040 is 40326561.

165623040 is a `hidden beast` number, since 1 + 656 + 2 + 3 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 165622995 and 165623013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165623041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126067 + ... + 127373.

It is an arithmetic number, because the mean of its divisors is an integer number (2896348).

Almost surely, 2^165623040 is an apocalyptic number.

165623040 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 165623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312805584).

165623040 is an abundant number, since it is smaller than the sum of its proper divisors (459988128).

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

165623040 is a wasteful number, since it uses less digits than its factorization.

165623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 165623040 is about 12869.4615271969. The cubic root of 165623040 is about 549.1701424536.

The spelling of 165623040 in words is "one hundred sixty-five million, six hundred twenty-three thousand, forty".