261179160 has 256 divisors, whose sum is σ = 921922560. Its totient is φ = 58490880.

The previous prime is 261179131. The next prime is 261179167. The reversal of 261179160 is 61971162.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261179167) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2311264 + ... + 2311376.

It is an arithmetic number, because the mean of its divisors is an integer number (3601260).

Almost surely, 2^261179160 is an apocalyptic number.

261179160 is a gapful number since it is divisible by the number (20) 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 261179160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460961280).

261179160 is an abundant number, since it is smaller than the sum of its proper divisors (660743400).

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

261179160 is a wasteful number, since it uses less digits than its factorization.

261179160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 261179160 is about 16161.0383329785. The cubic root of 261179160 is about 639.2138459085.

The spelling of 261179160 in words is "two hundred sixty-one million, one hundred seventy-nine thousand, one hundred sixty".