264288640 has 256 divisors, whose sum is σ = 817827840. Its totient is φ = 79257600.

The previous prime is 264288631. The next prime is 264288641. The reversal of 264288640 is 46882462.

It is a super-5 number, since 5×264288640⁵ (a number of 43 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 264288593 and 264288602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264288641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1527594 + ... + 1527766.

It is an arithmetic number, because the mean of its divisors is an integer number (3194640).

Almost surely, 2^264288640 is an apocalyptic number.

264288640 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 264288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408913920).

264288640 is an abundant number, since it is smaller than the sum of its proper divisors (553539200).

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

264288640 is a wasteful number, since it uses less digits than its factorization.

264288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 264288640 is about 16256.9566647635. The cubic root of 264288640 is about 641.7405744595.

The spelling of 264288640 in words is "two hundred sixty-four million, two hundred eighty-eight thousand, six hundred forty".