261014416 has 60 divisors (see below), whose sum is σ = 554683248. Its totient is φ = 118914432.

The previous prime is 261014387. The next prime is 261014417. The reversal of 261014416 is 614410162.

261014416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (261014417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223851 + ... + 225013.

Almost surely, 2^261014416 is an apocalyptic number.

261014416 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 261014416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277341624).

261014416 is an abundant number, since it is smaller than the sum of its proper divisors (293668832).

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

261014416 is a wasteful number, since it uses less digits than its factorization.

261014416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 261014416 is about 16155.9405792421. The cubic root of 261014416 is about 639.0794186505.

Adding to 261014416 its reverse (614410162), we get a palindrome (875424578).

The spelling of 261014416 in words is "two hundred sixty-one million, fourteen thousand, four hundred sixteen".