264642560 has 224 divisors, whose sum is σ = 792675072. Its totient is φ = 82575360.

The previous prime is 264642559. The next prime is 264642601. The reversal of 264642560 is 65246462.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 264642560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3727325 + ... + 3727395.

It is an arithmetic number, because the mean of its divisors is an integer number (3538728).

Almost surely, 2^264642560 is an apocalyptic number.

264642560 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 264642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396337536).

264642560 is an abundant number, since it is smaller than the sum of its proper divisors (528032512).

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

264642560 is an equidigital number, since it uses as much as digits as its factorization.

264642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 264642560 is about 16267.8382091783. The cubic root of 264642560 is about 642.0269072550.

The spelling of 264642560 in words is "two hundred sixty-four million, six hundred forty-two thousand, five hundred sixty".