261954224 has 60 divisors (see below), whose sum is σ = 616244784. Its totient is φ = 105649152.

The previous prime is 261954193. The next prime is 261954229. The reversal of 261954224 is 422459162.

It is a Cunningham number, because it is equal to 16185²-1.

It is not an unprimeable number, because it can be changed into a prime (261954229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28322 + ... + 36414.

Almost surely, 2^261954224 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 261954224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308122392).

261954224 is an abundant number, since it is smaller than the sum of its proper divisors (354290560).

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

261954224 is a wasteful number, since it uses less digits than its factorization.

261954224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8142 (or 8119 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 261954224 is about 16184.9999691072. Note that the first 4 decimals coincide. The cubic root of 261954224 is about 639.8455226125.

The spelling of 261954224 in words is "two hundred sixty-one million, nine hundred fifty-four thousand, two hundred twenty-four".