261180288 has 144 divisors (see below), whose sum is σ = 782949960. Its totient is φ = 86780160.

The previous prime is 261180287. The next prime is 261180319. The reversal of 261180288 is 882081162.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261180281) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 839653 + ... + 839963.

Almost surely, 2^261180288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261180288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391474980).

261180288 is an abundant number, since it is smaller than the sum of its proper divisors (521769672).

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

261180288 is an frugal number, since it uses more digits than its factorization.

261180288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 261180288 is about 16161.0732316885. The cubic root of 261180288 is about 639.2147661353.

The spelling of 261180288 in words is "two hundred sixty-one million, one hundred eighty thousand, two hundred eighty-eight".