260752032 has 72 divisors (see below), whose sum is σ = 743835456. Its totient is φ = 86645376.

The previous prime is 260752031. The next prime is 260752033. The reversal of 260752032 is 230257062.

260752032 is a `hidden beast` number, since 2 + 607 + 5 + 20 + 32 = 666.

260752032 is digitally balanced in base 3, 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 (260752031) and next prime (260752033).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 260751987 and 260752005.

It is not an unprimeable number, because it can be changed into a prime (260752031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104463 + ... + 106929.

It is an arithmetic number, because the mean of its divisors is an integer number (10331048).

Almost surely, 2^260752032 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 260752032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371917728).

260752032 is an abundant number, since it is smaller than the sum of its proper divisors (483083424).

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

260752032 is a wasteful number, since it uses less digits than its factorization.

260752032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 260752032 is about 16147.8181807946. The cubic root of 260752032 is about 638.8652025979.

The spelling of 260752032 in words is "two hundred sixty million, seven hundred fifty-two thousand, thirty-two".