261324160 has 128 divisors (see below), whose sum is σ = 669332160. Its totient is φ = 97320960.

The previous prime is 261324149. The next prime is 261324209. The reversal of 261324160 is 61423162.

261324160 is digitally balanced in base 3, 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 (128).

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, 603304 + ... + 603736.

Almost surely, 2^261324160 is an apocalyptic number.

261324160 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 261324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334666080).

261324160 is an abundant number, since it is smaller than the sum of its proper divisors (408008000).

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

261324160 is a wasteful number, since it uses less digits than its factorization.

261324160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 261324160 is about 16165.5238084016. The cubic root of 261324160 is about 639.3321157591.

The spelling of 261324160 in words is "two hundred sixty-one million, three hundred twenty-four thousand, one hundred sixty".