261431160 has 64 divisors (see below), whose sum is σ = 787186080. Its totient is φ = 69457920.

The previous prime is 261431141. The next prime is 261431167. The reversal of 261431160 is 61134162.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 261431160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261431167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29844 + ... + 37596.

Almost surely, 2^261431160 is an apocalyptic number.

261431160 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 261431160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393593040).

261431160 is an abundant number, since it is smaller than the sum of its proper divisors (525754920).

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

261431160 is a wasteful number, since it uses less digits than its factorization.

261431160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8048 (or 8044 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 261431160 is about 16168.8329820058. The cubic root of 261431160 is about 639.4193627015.

The spelling of 261431160 in words is "two hundred sixty-one million, four hundred thirty-one thousand, one hundred sixty".