260082576 has 200 divisors, whose sum is σ = 831821760. Its totient is φ = 77946624.

The previous prime is 260082547. The next prime is 260082577. The reversal of 260082576 is 675280062.

260082576 is a `hidden beast` number, since 2 + 6 + 0 + 0 + 82 + 576 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 260082576.

It is not an unprimeable number, because it can be changed into a prime (260082577) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 724285 + ... + 724643.

Almost surely, 2^260082576 is an apocalyptic number.

260082576 is a gapful number since it is divisible by the number (26) 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 260082576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415910880).

260082576 is an abundant number, since it is smaller than the sum of its proper divisors (571739184).

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

260082576 is a wasteful number, since it uses less digits than its factorization.

260082576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 420 counting only the distinct ones).

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

The square root of 260082576 is about 16127.0758663807. The cubic root of 260082576 is about 638.3179921794.

The spelling of 260082576 in words is "two hundred sixty million, eighty-two thousand, five hundred seventy-six".