264622020 has 96 divisors (see below), whose sum is σ = 806077440. Its totient is φ = 64473600.

The previous prime is 264622019. The next prime is 264622069. The reversal of 264622020 is 20226462.

264622020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77101 + ... + 80459.

It is an arithmetic number, because the mean of its divisors is an integer number (8396640).

Almost surely, 2^264622020 is an apocalyptic number.

264622020 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 264622020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403038720).

264622020 is an abundant number, since it is smaller than the sum of its proper divisors (541455420).

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

264622020 is a wasteful number, since it uses less digits than its factorization.

264622020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3485 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 264622020 is about 16267.2068899366. The cubic root of 264622020 is about 642.0102967070.

Adding to 264622020 its reverse (20226462), we get a palindrome (284848482).

It can be divided in two parts, 26462 and 2020, that added together give a palindrome (28482).

The spelling of 264622020 in words is "two hundred sixty-four million, six hundred twenty-two thousand, twenty".