264226560 has 288 divisors, whose sum is σ = 934026240. Its totient is φ = 63258624.

The previous prime is 264226537. The next prime is 264226561. The reversal of 264226560 is 65622462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264226561) 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, 3344601 + ... + 3344679.

Almost surely, 2^264226560 is an apocalyptic number.

264226560 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 264226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467013120).

264226560 is an abundant number, since it is smaller than the sum of its proper divisors (669799680).

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

264226560 is a wasteful number, since it uses less digits than its factorization.

264226560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 264226560 is about 16255.0472161726. The cubic root of 264226560 is about 641.6903233721.

The spelling of 264226560 in words is "two hundred sixty-four million, two hundred twenty-six thousand, five hundred sixty".