260205072 has 80 divisors (see below), whose sum is σ = 724144128. Its totient is φ = 80277120.

The previous prime is 260205067. The next prime is 260205149. The reversal of 260205072 is 270502062.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 30423 + ... + 38025.

Almost surely, 2^260205072 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 260205072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362072064).

260205072 is an abundant number, since it is smaller than the sum of its proper divisors (463939056).

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

260205072 is a wasteful number, since it uses less digits than its factorization.

260205072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7668 (or 7662 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 260205072 is about 16130.8732559648. The cubic root of 260205072 is about 638.4181900081.

The spelling of 260205072 in words is "two hundred sixty million, two hundred five thousand, seventy-two".