261144576 has 360 divisors, whose sum is σ = 981437184. Its totient is φ = 64880640.

The previous prime is 261144571. The next prime is 261144577. The reversal of 261144576 is 675441162.

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

It is a self number, because there is not a number n which added to its sum of digits gives 261144576.

It is not an unprimeable number, because it can be changed into a prime (261144571) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11354101 + ... + 11354123.

Almost surely, 2^261144576 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 261144576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490718592).

261144576 is an abundant number, since it is smaller than the sum of its proper divisors (720292608).

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

261144576 is a wasteful number, since it uses less digits than its factorization.

261144576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 46 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 261144576 is about 16159.9683168006. The cubic root of 261144576 is about 639.1856308607.

The spelling of 261144576 in words is "two hundred sixty-one million, one hundred forty-four thousand, five hundred seventy-six".