261300224 has 56 divisors (see below), whose sum is σ = 528450048. Its totient is φ = 129187840.

The previous prime is 261300199. The next prime is 261300227. The reversal of 261300224 is 422003162.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 261300196 and 261300205.

It is not an unprimeable number, because it can be changed into a prime (261300227) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1367969 + ... + 1368159.

It is an arithmetic number, because the mean of its divisors is an integer number (9436608).

Almost surely, 2^261300224 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 261300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264225024).

261300224 is an abundant number, since it is smaller than the sum of its proper divisors (267149824).

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

261300224 is an equidigital number, since it uses as much as digits as its factorization.

261300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 261300224 is about 16164.7834504518. The cubic root of 261300224 is about 639.3125952770.

Adding to 261300224 its reverse (422003162), we get a palindrome (683303386).

The spelling of 261300224 in words is "two hundred sixty-one million, three hundred thousand, two hundred twenty-four".