261874944 has 180 divisors, whose sum is σ = 796135956. Its totient is φ = 85598208.

The previous prime is 261874939. The next prime is 261874973. The reversal of 261874944 is 449478162.

261874944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 199148544 + 62726400 = 14112^2 + 7920^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 261874944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1513642 + ... + 1513814.

Almost surely, 2^261874944 is an apocalyptic number.

261874944 is a gapful number since it is divisible by the number (24) 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 261874944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398067978).

261874944 is an abundant number, since it is smaller than the sum of its proper divisors (534261012).

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

261874944 is an equidigital number, since it uses as much as digits as its factorization.

261874944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 251 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 261874944 is about 16182.5506024236. The cubic root of 261874944 is about 639.7809667134.

The spelling of 261874944 in words is "two hundred sixty-one million, eight hundred seventy-four thousand, nine hundred forty-four".