261143168 has 96 divisors (see below), whose sum is σ = 616303380. Its totient is φ = 109486080.

The previous prime is 261143159. The next prime is 261143203. The reversal of 261143168 is 861341162.

It can be written as a sum of positive squares in 2 ways, for example, as 253701184 + 7441984 = 15928^2 + 2728^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200696 + ... + 201992.

Almost surely, 2^261143168 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 261143168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308151690).

261143168 is an abundant number, since it is smaller than the sum of its proper divisors (355160212).

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

261143168 is a wasteful number, since it uses less digits than its factorization.

261143168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1323 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 261143168 is about 16159.9247523001. The cubic root of 261143168 is about 639.1844821037.

The spelling of 261143168 in words is "two hundred sixty-one million, one hundred forty-three thousand, one hundred sixty-eight".