260975520 has 240 divisors, whose sum is σ = 992514600. Its totient is φ = 64198656.

The previous prime is 260975513. The next prime is 260975527. The reversal of 260975520 is 25579062.

260975520 is a `hidden beast` number, since 2 + 60 + 9 + 75 + 520 = 666.

260975520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (260975513) and next prime (260975527).

It can be written as a sum of positive squares in 4 ways, for example, as 141991056 + 118984464 = 11916^2 + 10908^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (260975527) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 167706 + ... + 169254.

Almost surely, 2^260975520 is an apocalyptic number.

260975520 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 260975520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496257300).

260975520 is an abundant number, since it is smaller than the sum of its proper divisors (731539080).

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

260975520 is a wasteful number, since it uses less digits than its factorization.

260975520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 260975520 is about 16154.7367666576. The cubic root of 260975520 is about 639.0476721691.

The spelling of 260975520 in words is "two hundred sixty million, nine hundred seventy-five thousand, five hundred twenty".