261024768 has 132 divisors (see below), whose sum is σ = 782363400. Its totient is φ = 86925312.

The previous prime is 261024739. The next prime is 261024773. The reversal of 261024768 is 867420162.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 248308 + ... + 249356.

Almost surely, 2^261024768 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 261024768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391181700).

261024768 is an abundant number, since it is smaller than the sum of its proper divisors (521338632).

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

261024768 is an equidigital number, since it uses as much as digits as its factorization.

261024768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 261024768 is about 16156.2609535746. The cubic root of 261024768 is about 639.0878673060.

The spelling of 261024768 in words is "two hundred sixty-one million, twenty-four thousand, seven hundred sixty-eight".