261061416 has 288 divisors, whose sum is σ = 929448000. Its totient is φ = 65620800.

The previous prime is 261061403. The next prime is 261061439. The reversal of 261061416 is 614160162.

261061416 is a `hidden beast` number, since 2 + 610 + 6 + 1 + 41 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 261061416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8421321 + ... + 8421351.

It is an arithmetic number, because the mean of its divisors is an integer number (3227250).

Almost surely, 2^261061416 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 261061416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464724000).

261061416 is an abundant number, since it is smaller than the sum of its proper divisors (668386584).

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

261061416 is a wasteful number, since it uses less digits than its factorization.

261061416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 261061416 is about 16157.3950870801. The cubic root of 261061416 is about 639.1177753186.

The spelling of 261061416 in words is "two hundred sixty-one million, sixty-one thousand, four hundred sixteen".