264001024 has 120 divisors (see below), whose sum is σ = 650750760. Its totient is φ = 106315776.

The previous prime is 264001019. The next prime is 264001027. The reversal of 264001024 is 420100462.

It is a junction number, because it is equal to n+sod(n) for n = 264000992 and 264001010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264001027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 426187 + ... + 426805.

It is an arithmetic number, because the mean of its divisors is an integer number (5422923).

Almost surely, 2^264001024 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 264001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325375380).

264001024 is an abundant number, since it is smaller than the sum of its proper divisors (386749736).

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

264001024 is an equidigital number, since it uses as much as digits as its factorization.

264001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 264001024 is about 16248.1083206631. The cubic root of 264001024 is about 641.5076954211.

Adding to 264001024 its reverse (420100462), we get a palindrome (684101486).

The spelling of 264001024 in words is "two hundred sixty-four million, one thousand, twenty-four".