261834048 has 126 divisors (see below), whose sum is σ = 873124746. Its totient is φ = 74801664.

The previous prime is 261834007. The next prime is 261834049. The reversal of 261834048 is 840438162.

261834048 is a `hidden beast` number, since 2 + 618 + 34 + 0 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 249387264 + 12446784 = 15792^2 + 3528^2 .

It is a tau number, because it is divible by the number of its divisors (126).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261834049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23586 + ... + 32862.

Almost surely, 2^261834048 is an apocalyptic number.

261834048 is a gapful number since it is divisible by the number (28) 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 261834048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436562373).

261834048 is an abundant number, since it is smaller than the sum of its proper divisors (611290698).

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

261834048 is a wasteful number, since it uses less digits than its factorization.

261834048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9309 (or 9289 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 261834048 is about 16181.2869698303. The cubic root of 261834048 is about 639.7476609376.

The spelling of 261834048 in words is "two hundred sixty-one million, eight hundred thirty-four thousand, forty-eight".