261226080 has 192 divisors, whose sum is σ = 968345280. Its totient is φ = 65544192.

The previous prime is 261226067. The next prime is 261226093. The reversal of 261226080 is 80622162.

261226080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (261226067) and next prime (261226093).

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 31 ways as a sum of consecutive naturals, for example, 71662 + ... + 75218.

It is an arithmetic number, because the mean of its divisors is an integer number (5043465).

Almost surely, 2^261226080 is an apocalyptic number.

261226080 is a gapful number since it is divisible by the number (20) 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 261226080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484172640).

261226080 is an abundant number, since it is smaller than the sum of its proper divisors (707119200).

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

261226080 is a wasteful number, since it uses less digits than its factorization.

261226080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3598 (or 3584 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 261226080 is about 16162.4899071894. The cubic root of 261226080 is about 639.2521211903.

The spelling of 261226080 in words is "two hundred sixty-one million, two hundred twenty-six thousand, eighty".