261596544 has 128 divisors (see below), whose sum is σ = 802846080. Its totient is φ = 74588160.

The previous prime is 261596537. The next prime is 261596551. The reversal of 261596544 is 445695162.

261596544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (261596537) and next prime (261596551).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 261596496 and 261596505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69987 + ... + 73629.

It is an arithmetic number, because the mean of its divisors is an integer number (6272235).

Almost surely, 2^261596544 is an apocalyptic number.

261596544 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 261596544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401423040).

261596544 is an abundant number, since it is smaller than the sum of its proper divisors (541249536).

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

261596544 is a wasteful number, since it uses less digits than its factorization.

261596544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3676 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 261596544 is about 16173.9464571885. The cubic root of 261596544 is about 639.5541686676.

The spelling of 261596544 in words is "two hundred sixty-one million, five hundred ninety-six thousand, five hundred forty-four".