261762116 has 72 divisors (see below), whose sum is σ = 584672256. Its totient is φ = 101398080.

The previous prime is 261762097. The next prime is 261762119. The reversal of 261762116 is 611267162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261762119) 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, 683261 + ... + 683643.

It is an arithmetic number, because the mean of its divisors is an integer number (8120448).

Almost surely, 2^261762116 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 261762116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292336128).

261762116 is an abundant number, since it is smaller than the sum of its proper divisors (322910140).

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

261762116 is a wasteful number, since it uses less digits than its factorization.

261762116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 720 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 261762116 is about 16179.0641262095. The cubic root of 261762116 is about 639.6890709721.

The spelling of 261762116 in words is "two hundred sixty-one million, seven hundred sixty-two thousand, one hundred sixteen".