264075 has 24 divisors (see below), whose sum is σ = 499968. Its totient is φ = 120480.

The previous prime is 264071. The next prime is 264083. The reversal of 264075 is 570462.

It is a happy number.

It is not a de Polignac number, because 264075 - 2² = 264071 is a prime.

264075 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 264075.

It is not an unprimeable number, because it can be changed into a prime (264071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274 + ... + 776.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2²⁶⁴⁰⁷⁵ is an apocalyptic number.

264075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

264075 is a deficient number, since it is larger than the sum of its proper divisors (235893).

264075 is a wasteful number, since it uses less digits than its factorization.

264075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 264075 is about 513.8822822398. The cubic root of 264075 is about 64.1567609004.

The spelling of 264075 in words is "two hundred sixty-four thousand, seventy-five".