261301716 has 108 divisors (see below), whose sum is σ = 740392380. Its totient is φ = 77575680.

The previous prime is 261301709. The next prime is 261301721. The reversal of 261301716 is 617103162.

It can be written as a sum of positive squares in 6 ways, for example, as 42380100 + 218921616 = 6510^2 + 14796^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 261301716.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 175696 + ... + 177176.

It is an arithmetic number, because the mean of its divisors is an integer number (6855485).

Almost surely, 2^261301716 is an apocalyptic number.

261301716 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261301716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370196190).

261301716 is an abundant number, since it is smaller than the sum of its proper divisors (479090664).

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

261301716 is a wasteful number, since it uses less digits than its factorization.

261301716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 261301716 is about 16164.8296000917. The cubic root of 261301716 is about 639.3138120798.

Adding to 261301716 its reverse (617103162), we get a palindrome (878404878).

It can be divided in two parts, 261 and 301716, that multiplied together give a square (78747876 = 8874²).

The spelling of 261301716 in words is "two hundred sixty-one million, three hundred one thousand, seven hundred sixteen".