165468000 has 96 divisors (see below), whose sum is σ = 542112480. Its totient is φ = 44121600.

The previous prime is 165467947. The next prime is 165468013. The reversal of 165468000 is 864561.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5106 + ... + 18894.

It is an arithmetic number, because the mean of its divisors is an integer number (5647005).

Almost surely, 2^165468000 is an apocalyptic number.

165468000 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 165468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271056240).

165468000 is an abundant number, since it is smaller than the sum of its proper divisors (376644480).

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

165468000 is a wasteful number, since it uses less digits than its factorization.

165468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13817 (or 13799 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 165468000 is about 12863.4365548247. The cubic root of 165468000 is about 548.9987292647.

The spelling of 165468000 in words is "one hundred sixty-five million, four hundred sixty-eight thousand".