260612560 has 80 divisors (see below), whose sum is σ = 675113040. Its totient is φ = 92897280.

The previous prime is 260612537. The next prime is 260612587. The reversal of 260612560 is 65216062.

It can be written as a sum of positive squares in 8 ways, for example, as 74235456 + 186377104 = 8616^2 + 13652^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 25840 + ... + 34480.

It is an arithmetic number, because the mean of its divisors is an integer number (8438913).

Almost surely, 2^260612560 is an apocalyptic number.

260612560 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 260612560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337556520).

260612560 is an abundant number, since it is smaller than the sum of its proper divisors (414500480).

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

260612560 is a wasteful number, since it uses less digits than its factorization.

260612560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8696 (or 8690 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 260612560 is about 16143.4990011459. The cubic root of 260612560 is about 638.7512760981.

The spelling of 260612560 in words is "two hundred sixty million, six hundred twelve thousand, five hundred sixty".