260777538 has 48 divisors (see below), whose sum is σ = 648700416. Its totient is φ = 74165760.

The previous prime is 260777537. The next prime is 260777551. The reversal of 260777538 is 835777062.

260777538 is a `hidden beast` number, since 2 + 607 + 7 + 7 + 5 + 38 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 260777493 and 260777502.

It is not an unprimeable number, because it can be changed into a prime (260777537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23458 + ... + 32738.

It is an arithmetic number, because the mean of its divisors is an integer number (13514592).

Almost surely, 2^260777538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260777538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324350208).

260777538 is an abundant number, since it is smaller than the sum of its proper divisors (387922878).

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

260777538 is a wasteful number, since it uses less digits than its factorization.

260777538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9519 (or 9516 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 260777538 is about 16148.6079276203. The cubic root of 260777538 is about 638.8860325597.

The spelling of 260777538 in words is "two hundred sixty million, seven hundred seventy-seven thousand, five hundred thirty-eight".