261960480 has 480 divisors, whose sum is σ = 1037337840. Its totient is φ = 61931520.

The previous prime is 261960473. The next prime is 261960499. The reversal of 261960480 is 84069162.

261960480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 81649296 + 180311184 = 9036^2 + 13428^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6389260 + ... + 6389300.

Almost surely, 2^261960480 is an apocalyptic number.

261960480 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 261960480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518668920).

261960480 is an abundant number, since it is smaller than the sum of its proper divisors (775377360).

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

261960480 is a wasteful number, since it uses less digits than its factorization.

261960480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 261960480 is about 16185.1932333229. The cubic root of 261960480 is about 639.8506161764.

The spelling of 261960480 in words is "two hundred sixty-one million, nine hundred sixty thousand, four hundred eighty".