260078112 has 288 divisors, whose sum is σ = 905748480. Its totient is φ = 69189120.

The previous prime is 260078101. The next prime is 260078113. The reversal of 260078112 is 211870062.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (260078113) 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 47 ways as a sum of consecutive naturals, for example, 3292089 + ... + 3292167.

It is an arithmetic number, because the mean of its divisors is an integer number (3144960).

Almost surely, 2^260078112 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 260078112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452874240).

260078112 is an abundant number, since it is smaller than the sum of its proper divisors (645670368).

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

260078112 is a wasteful number, since it uses less digits than its factorization.

260078112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 260078112 is about 16126.9374649994. The cubic root of 260078112 is about 638.3143401754.

The spelling of 260078112 in words is "two hundred sixty million, seventy-eight thousand, one hundred twelve".