165001590 has 128 divisors (see below), whose sum is σ = 490492800. Its totient is φ = 39191040.

The previous prime is 165001547. The next prime is 165001601. The reversal of 165001590 is 95100561.

165001590 is a `hidden beast` number, since 1 + 6 + 500 + 159 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100980 + ... + 102600.

It is an arithmetic number, because the mean of its divisors is an integer number (3831975).

Almost surely, 2^165001590 is an apocalyptic number.

165001590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165001590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245246400).

165001590 is an abundant number, since it is smaller than the sum of its proper divisors (325491210).

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

165001590 is a wasteful number, since it uses less digits than its factorization.

165001590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 165001590 is about 12845.2944691821. The cubic root of 165001590 is about 548.4824170239.

The spelling of 165001590 in words is "one hundred sixty-five million, one thousand, five hundred ninety".