261116856 has 192 divisors, whose sum is σ = 949777920. Its totient is φ = 62588160.

The previous prime is 261116851. The next prime is 261116873. The reversal of 261116856 is 658611162.

261116856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 261116856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261116851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70261 + ... + 73883.

It is an arithmetic number, because the mean of its divisors is an integer number (4946760).

Almost surely, 2^261116856 is an apocalyptic number.

261116856 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 261116856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474888960).

261116856 is an abundant number, since it is smaller than the sum of its proper divisors (688661064).

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

261116856 is a wasteful number, since it uses less digits than its factorization.

261116856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666 (or 3659 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 261116856 is about 16159.1106190904. The cubic root of 261116856 is about 639.1630139475.

The spelling of 261116856 in words is "two hundred sixty-one million, one hundred sixteen thousand, eight hundred fifty-six".