260047872 has 264 divisors, whose sum is σ = 894129600. Its totient is φ = 71221248.

The previous prime is 260047859. The next prime is 260047897. The reversal of 260047872 is 278740062.

260047872 is a `hidden beast` number, since 2 + 600 + 47 + 8 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1870779 + ... + 1870917.

Almost surely, 2^260047872 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 260047872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447064800).

260047872 is an abundant number, since it is smaller than the sum of its proper divisors (634081728).

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

260047872 is a wasteful number, since it uses less digits than its factorization.

260047872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 260047872 is about 16125.9998759767. Note that the first 3 decimals coincide. The cubic root of 260047872 is about 638.2895996931.

The spelling of 260047872 in words is "two hundred sixty million, forty-seven thousand, eight hundred seventy-two".