261975168 has 512 divisors, whose sum is σ = 1028160000. Its totient is φ = 65028096.

The previous prime is 261975167. The next prime is 261975179. The reversal of 261975168 is 861579162.

261975168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (181440) is a multiple of the sum of its prime divisors (42).

It is not an unprimeable number, because it can be changed into a prime (261975167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15410296 + ... + 15410312.

It is an arithmetic number, because the mean of its divisors is an integer number (2008125).

Almost surely, 2^261975168 is an apocalyptic number.

261975168 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 261975168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514080000).

261975168 is an abundant number, since it is smaller than the sum of its proper divisors (766184832).

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

261975168 is a wasteful number, since it uses less digits than its factorization.

261975168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 42 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 261975168 is about 16185.6469750208. The cubic root of 261975168 is about 639.8625746598.

The spelling of 261975168 in words is "two hundred sixty-one million, nine hundred seventy-five thousand, one hundred sixty-eight".