264224640 has 128 divisors (see below), whose sum is σ = 886665600. Its totient is φ = 66742272.

The previous prime is 264224633. The next prime is 264224641. The reversal of 264224640 is 46422462.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 264224598 and 264224607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264224641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32859 + ... + 40101.

It is an arithmetic number, because the mean of its divisors is an integer number (6927075).

Almost surely, 2^264224640 is an apocalyptic number.

264224640 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 264224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443332800).

264224640 is an abundant number, since it is smaller than the sum of its proper divisors (622440960).

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

264224640 is a wasteful number, since it uses less digits than its factorization.

264224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7284 (or 7272 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 264224640 is about 16254.9881574857. The cubic root of 264224640 is about 641.6887690893.

The spelling of 264224640 in words is "two hundred sixty-four million, two hundred twenty-four thousand, six hundred forty".