261283968 has 320 divisors, whose sum is σ = 888624000. Its totient is φ = 75479040.

The previous prime is 261283963. The next prime is 261283993. The reversal of 261283968 is 869382162.

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 (261283963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3307353 + ... + 3307431.

It is an arithmetic number, because the mean of its divisors is an integer number (2776950).

Almost surely, 2^261283968 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 261283968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444312000).

261283968 is an abundant number, since it is smaller than the sum of its proper divisors (627340032).

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

261283968 is a wasteful number, since it uses less digits than its factorization.

261283968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 261283968 is about 16164.2806211721. The cubic root of 261283968 is about 639.2993373714.

The spelling of 261283968 in words is "two hundred sixty-one million, two hundred eighty-three thousand, nine hundred sixty-eight".