261024816 has 80 divisors (see below), whose sum is σ = 728453376. Its totient is φ = 80064768.

The previous prime is 261024811. The next prime is 261024833. The reversal of 261024816 is 618420162.

It is not an unprimeable number, because it can be changed into a prime (261024811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350941 + ... + 351683.

Almost surely, 2^261024816 is an apocalyptic number.

261024816 is a gapful number since it is divisible by the number (26) 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 261024816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364226688).

261024816 is an abundant number, since it is smaller than the sum of its proper divisors (467428560).

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

261024816 is a wasteful number, since it uses less digits than its factorization.

261024816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 261024816 is about 16156.2624390668. The cubic root of 261024816 is about 639.0879064801.

Adding to 261024816 its reverse (618420162), we get a palindrome (879444978).

The spelling of 261024816 in words is "two hundred sixty-one million, twenty-four thousand, eight hundred sixteen".