261136416 has 96 divisors (see below), whose sum is σ = 717171840. Its totient is φ = 83091456.

The previous prime is 261136363. The next prime is 261136427. The reversal of 261136416 is 614631162.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×261136416² = 136384455522650112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269565 + ... + 270531.

It is an arithmetic number, because the mean of its divisors is an integer number (7470540).

Almost surely, 2^261136416 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 261136416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358585920).

261136416 is an abundant number, since it is smaller than the sum of its proper divisors (456035424).

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

261136416 is a wasteful number, since it uses less digits than its factorization.

261136416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1098 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 261136416 is about 16159.7158390858. The cubic root of 261136416 is about 639.1789732343.

Adding to 261136416 its reverse (614631162), we get a palindrome (875767578).

The spelling of 261136416 in words is "two hundred sixty-one million, one hundred thirty-six thousand, four hundred sixteen".