261646848 has 140 divisors (see below), whose sum is σ = 784933578. Its totient is φ = 87091200.

The previous prime is 261646843. The next prime is 261646877. The reversal of 261646848 is 848646162.

It can be written as a sum of positive squares in only one way, i.e., 179345664 + 82301184 = 13392^2 + 9072^2 .

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 (261646841) 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 13 ways as a sum of consecutive naturals, for example, 372898 + ... + 373598.

Almost surely, 2^261646848 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 261646848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392466789).

261646848 is an abundant number, since it is smaller than the sum of its proper divisors (523286730).

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

261646848 is an frugal number, since it uses more digits than its factorization.

261646848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 706 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 261646848 is about 16175.5014759976. The cubic root of 261646848 is about 639.5951606349.

The spelling of 261646848 in words is "two hundred sixty-one million, six hundred forty-six thousand, eight hundred forty-eight".