264012 has 36 divisors (see below), whose sum is σ = 718200. Its totient is φ = 75264.

The previous prime is 264007. The next prime is 264013. The reversal of 264012 is 210462.

It is a super-2 number, since 2×264012² = 139404672288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 263982 and 264000.

It is not an unprimeable number, because it can be changed into a prime (264013) by changing a digit.

264012 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 364 + ... + 812.

It is an arithmetic number, because the mean of its divisors is an integer number (19950).

2²⁶⁴⁰¹² 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 264012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359100).

264012 is an abundant number, since it is smaller than the sum of its proper divisors (454188).

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

264012 is a wasteful number, since it uses less digits than its factorization.

264012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 264012 is about 513.8209804981. The cubic root of 264012 is about 64.1516585653.

Adding to 264012 its reverse (210462), we get a palindrome (474474).

The spelling of 264012 in words is "two hundred sixty-four thousand, twelve".