261884160 has 216 divisors, whose sum is σ = 918328320. Its totient is φ = 68898816.

The previous prime is 261884159. The next prime is 261884177. The reversal of 261884160 is 61488162.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1462951 + ... + 1463129.

It is an arithmetic number, because the mean of its divisors is an integer number (4251520).

Almost surely, 2^261884160 is an apocalyptic number.

261884160 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 261884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459164160).

261884160 is an abundant number, since it is smaller than the sum of its proper divisors (656444160).

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

261884160 is a wasteful number, since it uses less digits than its factorization.

261884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 261884160 is about 16182.8353510749. The cubic root of 261884160 is about 639.7884717616.

The spelling of 261884160 in words is "two hundred sixty-one million, eight hundred eighty-four thousand, one hundred sixty".