261144000 has 560 divisors, whose sum is σ = 1073968896. Its totient is φ = 62208000.

The previous prime is 261143983. The next prime is 261144007. The reversal of 261144000 is 441162.

261144000 is a `hidden beast` number, since 261 + 1 + 4 + 400 + 0 = 666.

261144000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261144007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8423985 + ... + 8424015.

Almost surely, 2^261144000 is an apocalyptic number.

261144000 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 261144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536984448).

261144000 is an abundant number, since it is smaller than the sum of its proper divisors (812824896).

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

261144000 is a wasteful number, since it uses less digits than its factorization.

261144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 261144000 is about 16159.9504949737. The cubic root of 261144000 is about 639.1851609152.

Adding to 261144000 its reverse (441162), we get a palindrome (261585162).

The spelling of 261144000 in words is "two hundred sixty-one million, one hundred forty-four thousand".