262722560 has 132 divisors (see below), whose sum is σ = 665610708. Its totient is φ = 99483648.

The previous prime is 262722521. The next prime is 262722599. The reversal of 262722560 is 65227262.

It is an interprime number because it is at equal distance from previous prime (262722521) and next prime (262722599).

It can be written as a sum of positive squares in 2 ways, for example, as 106172416 + 156550144 = 10304^2 + 12512^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2708432 + ... + 2708528.

Almost surely, 2^262722560 is an apocalyptic number.

262722560 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 262722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332805354).

262722560 is an abundant number, since it is smaller than the sum of its proper divisors (402888148).

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

262722560 is an equidigital number, since it uses as much as digits as its factorization.

262722560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 262722560 is about 16208.7186415213. The cubic root of 262722560 is about 640.4704873761.

The spelling of 262722560 in words is "two hundred sixty-two million, seven hundred twenty-two thousand, five hundred sixty".