261871680 has 336 divisors, whose sum is σ = 1021567680. Its totient is φ = 56512512.

The previous prime is 261871679. The next prime is 261871697. The reversal of 261871680 is 86178162.

261871680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893614 + ... + 893906.

It is an arithmetic number, because the mean of its divisors is an integer number (3040380).

Almost surely, 2^261871680 is an apocalyptic number.

261871680 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 261871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510783840).

261871680 is an abundant number, since it is smaller than the sum of its proper divisors (759696000).

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

261871680 is a wasteful number, since it uses less digits than its factorization.

261871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 261871680 is about 16182.4497527414. The cubic root of 261871680 is about 639.7783086332.

The spelling of 261871680 in words is "two hundred sixty-one million, eight hundred seventy-one thousand, six hundred eighty".