261006768 has 120 divisors (see below), whose sum is σ = 812157840. Its totient is φ = 77575680.

The previous prime is 261006719. The next prime is 261006773. The reversal of 261006768 is 867600162.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82398 + ... + 85506.

It is an arithmetic number, because the mean of its divisors is an integer number (6767982).

Almost surely, 2^261006768 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 261006768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406078920).

261006768 is an abundant number, since it is smaller than the sum of its proper divisors (551151072).

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

261006768 is a wasteful number, since it uses less digits than its factorization.

261006768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 261006768 is about 16155.7038843871. The cubic root of 261006768 is about 639.0731766873.

The spelling of 261006768 in words is "two hundred sixty-one million, six thousand, seven hundred sixty-eight".