260608208004 has 135 divisors (see below), whose sum is σ = 691941709767. Its totient is φ = 85530876912.

The previous prime is 260608207939. The next prime is 260608208009. The reversal of 260608208004 is 400802806062.

The square root of 260608208004 is 510498.

It is a perfect power (a square), and thus also a powerful number.

260608208004 is a `hidden beast` number, since 26 + 0 + 608 + 20 + 8 + 0 + 0 + 4 = 666.

It is a super-2 number, since 2×260608208004² (a number of 24 digits) contains 22 as substring.

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 260608208004.

It is not an unprimeable number, because it can be changed into a prime (260608208009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 725927977 + ... + 725928335.

Almost surely, 2^260608208004 is an apocalyptic number.

260608208004 is the 510498-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260608208004

260608208004 is an abundant number, since it is smaller than the sum of its proper divisors (431333501763).

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

260608208004 is an frugal number, since it uses more digits than its factorization.

260608208004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Multiplying 260608208004 by its sum of digits (36), we get a square (9381895488144 = 3062988²).

260608208004 divided by its sum of digits (36) gives a square (7239116889 = 85083²).

The spelling of 260608208004 in words is "two hundred sixty billion, six hundred eight million, two hundred eight thousand, four".