261012960 has 288 divisors, whose sum is σ = 977453568. Its totient is φ = 63037440.

The previous prime is 261012943. The next prime is 261012979. The reversal of 261012960 is 69210162.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1366465 + ... + 1366655.

It is an arithmetic number, because the mean of its divisors is an integer number (3393936).

Almost surely, 2^261012960 is an apocalyptic number.

261012960 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 261012960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488726784).

261012960 is an abundant number, since it is smaller than the sum of its proper divisors (716440608).

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

261012960 is a wasteful number, since it uses less digits than its factorization.

261012960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 261012960 is about 16155.8955183549. The cubic root of 261012960 is about 639.0782303364.

The spelling of 261012960 in words is "two hundred sixty-one million, twelve thousand, nine hundred sixty".