261168768 has 192 divisors, whose sum is σ = 868795200. Its totient is φ = 73764864.

The previous prime is 261168689. The next prime is 261168779. The reversal of 261168768 is 867861162.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (193536) is a multiple of the sum of its prime divisors (384).

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, 1120780 + ... + 1121012.

It is an arithmetic number, because the mean of its divisors is an integer number (4524975).

Almost surely, 2^261168768 is an apocalyptic number.

261168768 is a gapful number since it is divisible by the number (28) 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 261168768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434397600).

261168768 is an abundant number, since it is smaller than the sum of its proper divisors (607626432).

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

261168768 is a wasteful number, since it uses less digits than its factorization.

261168768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 384 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 261168768 is about 16160.7168157851. The cubic root of 261168768 is about 639.2053679499.

It can be divided in two parts, 2611687 and 68, that added together give a triangular number (2611755 = T₂₂₈₅).

The spelling of 261168768 in words is "two hundred sixty-one million, one hundred sixty-eight thousand, seven hundred sixty-eight".