261356112 has 80 divisors (see below), whose sum is σ = 760844160. Its totient is φ = 85881600.

The previous prime is 261356101. The next prime is 261356129. The reversal of 261356112 is 211653162.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 26412 + ... + 34932.

It is an arithmetic number, because the mean of its divisors is an integer number (9510552).

Almost surely, 2^261356112 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 261356112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380422080).

261356112 is an abundant number, since it is smaller than the sum of its proper divisors (499488048).

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

261356112 is a wasteful number, since it uses less digits than its factorization.

261356112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8609 (or 8597 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 261356112 is about 16166.5120542435. The cubic root of 261356112 is about 639.3581716574.

The spelling of 261356112 in words is "two hundred sixty-one million, three hundred fifty-six thousand, one hundred twelve".