264160 has 48 divisors (see below), whose sum is σ = 677376. Its totient is φ = 96768.

The previous prime is 264139. The next prime is 264167. The reversal of 264160 is 61462.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2017 + ... + 2143.

It is an arithmetic number, because the mean of its divisors is an integer number (14112).

2²⁶⁴¹⁶⁰ is an apocalyptic number.

264160 is a gapful number since it is divisible by the number (20) 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 264160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338688).

264160 is an abundant number, since it is smaller than the sum of its proper divisors (413216).

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

264160 is a wasteful number, since it uses less digits than its factorization.

264160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 264160 is about 513.9649793517. The cubic root of 264160 is about 64.1636437173.

It can be divided in two parts, 2641 and 60, that added together give a triangular number (2701 = T₇₃).

The spelling of 264160 in words is "two hundred sixty-four thousand, one hundred sixty".