261412128 has 144 divisors (see below), whose sum is σ = 796068000. Its totient is φ = 81082368.

The previous prime is 261412121. The next prime is 261412133. The reversal of 261412128 is 821214162.

261412128 is a `hidden beast` number, since 2 + 614 + 1 + 21 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (261412121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 523623 + ... + 524121.

It is an arithmetic number, because the mean of its divisors is an integer number (5528250).

Almost surely, 2^261412128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261412128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398034000).

261412128 is an abundant number, since it is smaller than the sum of its proper divisors (534655872).

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

261412128 is a wasteful number, since it uses less digits than its factorization.

261412128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 628 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 261412128 is about 16168.2444316011. The cubic root of 261412128 is about 639.4038459020.

The spelling of 261412128 in words is "two hundred sixty-one million, four hundred twelve thousand, one hundred twenty-eight".