261760320 has 168 divisors, whose sum is σ = 910599144. Its totient is φ = 69009408.

The previous prime is 261760313. The next prime is 261760327. The reversal of 261760320 is 23067162.

It is a happy number.

261760320 is a `hidden beast` number, since 26 + 17 + 603 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (261760313) and next prime (261760327).

It can be written as a sum of positive squares in 4 ways, for example, as 97344 + 261662976 = 312^2 + 16176^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261760327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278892 + ... + 279828.

It is an arithmetic number, because the mean of its divisors is an integer number (5420233).

Almost surely, 2^261760320 is an apocalyptic number.

261760320 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 261760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455299572).

261760320 is an abundant number, since it is smaller than the sum of its proper divisors (648838824).

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

261760320 is a wasteful number, since it uses less digits than its factorization.

261760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 261760320 is about 16179.0086222859. The cubic root of 261760320 is about 639.6876079590.

The spelling of 261760320 in words is "two hundred sixty-one million, seven hundred sixty thousand, three hundred twenty".