261329760 has 96 divisors (see below), whose sum is σ = 914669280. Its totient is φ = 69686784.

The previous prime is 261329741. The next prime is 261329767. The reversal of 261329760 is 67923162.

261329760 is a `hidden beast` number, since 261 + 329 + 76 + 0 = 666.

261329760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 (261329767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25927 + ... + 34566.

It is an arithmetic number, because the mean of its divisors is an integer number (9527805).

Almost surely, 2^261329760 is an apocalyptic number.

261329760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261329760 is an abundant number, since it is smaller than the sum of its proper divisors (653339520).

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

261329760 is a wasteful number, since it uses less digits than its factorization.

261329760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60517 (or 60503 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 261329760 is about 16165.6970155945. The cubic root of 261329760 is about 639.3366825447.

The spelling of 261329760 in words is "two hundred sixty-one million, three hundred twenty-nine thousand, seven hundred sixty".