165268000 has 96 divisors (see below), whose sum is σ = 411989760. Its totient is φ = 65145600.

The previous prime is 165267997. The next prime is 165268001. The reversal of 165268000 is 862561.

It is a self number, because there is not a number n which added to its sum of digits gives 165268000.

It is not an unprimeable number, because it can be changed into a prime (165268001) 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, 315739 + ... + 316261.

It is an arithmetic number, because the mean of its divisors is an integer number (4291560).

Almost surely, 2^165268000 is an apocalyptic number.

165268000 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 165268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205994880).

165268000 is an abundant number, since it is smaller than the sum of its proper divisors (246721760).

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

165268000 is an equidigital number, since it uses as much as digits as its factorization.

165268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 165268000 is about 12855.6602319756. The cubic root of 165268000 is about 548.7774497955. Note that the first 3 decimals are identical.

The spelling of 165268000 in words is "one hundred sixty-five million, two hundred sixty-eight thousand".