260527680 has 168 divisors, whose sum is σ = 1024201152. Its totient is φ = 59544576.

The previous prime is 260527679. The next prime is 260527681. The reversal of 260527680 is 86725062.

It is an interprime number because it is at equal distance from previous prime (260527679) and next prime (260527681).

It is a tau number, because it is divible by the number of its divisors (168).

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 (260527681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13699 + ... + 26621.

Almost surely, 2^260527680 is an apocalyptic number.

260527680 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 260527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512100576).

260527680 is an abundant number, since it is smaller than the sum of its proper divisors (763673472).

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

260527680 is a wasteful number, since it uses less digits than its factorization.

260527680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12953 (or 12940 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 260527680 is about 16140.8698650352. The cubic root of 260527680 is about 638.6819227056.

The spelling of 260527680 in words is "two hundred sixty million, five hundred twenty-seven thousand, six hundred eighty".