165975468 has 48 divisors (see below), whose sum is σ = 401798880. Its totient is φ = 53261824.

The previous prime is 165975463. The next prime is 165975479. The reversal of 165975468 is 864579561.

165975468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 165975468.

It is not an unprimeable number, because it can be changed into a prime (165975463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214330 + ... + 215102.

It is an arithmetic number, because the mean of its divisors is an integer number (8370810).

Almost surely, 2^165975468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165975468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200899440).

165975468 is an abundant number, since it is smaller than the sum of its proper divisors (235823412).

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

165975468 is a wasteful number, since it uses less digits than its factorization.

165975468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1424 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 51.

The square root of 165975468 is about 12883.1466653143. The cubic root of 165975468 is about 549.5593914726.

The spelling of 165975468 in words is "one hundred sixty-five million, nine hundred seventy-five thousand, four hundred sixty-eight".