260540032 has 32 divisors (see below), whose sum is σ = 523666980. Its totient is φ = 129110016.

The previous prime is 260540029. The next prime is 260540041. The reversal of 260540032 is 230045062.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 259338816 + 1201216 = 16104^2 + 1096^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×260540032² = 135762216549122048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 260539985 and 260540012.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5458 + ... + 23470.

Almost surely, 2^260540032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261833490).

260540032 is an abundant number, since it is smaller than the sum of its proper divisors (263126948).

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

260540032 is a wasteful number, since it uses less digits than its factorization.

260540032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18140 (or 18128 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 260540032 is about 16141.2524916749. The cubic root of 260540032 is about 638.6920161621.

Adding to 260540032 its reverse (230045062), we get a palindrome (490585094).

The spelling of 260540032 in words is "two hundred sixty million, five hundred forty thousand, thirty-two".