261573760 has 192 divisors, whose sum is σ = 767448000. Its totient is φ = 84768768.

The previous prime is 261573749. The next prime is 261573769. The reversal of 261573760 is 67375162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261573769) 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 23 ways as a sum of consecutive naturals, for example, 595621 + ... + 596059.

It is an arithmetic number, because the mean of its divisors is an integer number (3997125).

Almost surely, 2^261573760 is an apocalyptic number.

261573760 is a gapful number since it is divisible by the number (20) 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 261573760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383724000).

261573760 is an abundant number, since it is smaller than the sum of its proper divisors (505874240).

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

261573760 is a wasteful number, since it uses less digits than its factorization.

261573760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 261573760 is about 16173.2420992206. The cubic root of 261573760 is about 639.5356006021.

The spelling of 261573760 in words is "two hundred sixty-one million, five hundred seventy-three thousand, seven hundred sixty".