261696960 has 224 divisors, whose sum is σ = 1055339520. Its totient is φ = 59802624.

The previous prime is 261696949. The next prime is 261696961. The reversal of 261696960 is 69696162.

261696960 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 (224).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261696961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58317 + ... + 62643.

Almost surely, 2^261696960 is an apocalyptic number.

261696960 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 261696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527669760).

261696960 is an abundant number, since it is smaller than the sum of its proper divisors (793642560).

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

261696960 is a wasteful number, since it uses less digits than its factorization.

261696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4360 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 261696960 is about 16177.0504109989. The cubic root of 261696960 is about 639.6359909206.

The spelling of 261696960 in words is "two hundred sixty-one million, six hundred ninety-six thousand, nine hundred sixty".