261380160 has 168 divisors, whose sum is σ = 918642816. Its totient is φ = 68183040.

The previous prime is 261380149. The next prime is 261380237. The reversal of 261380160 is 61083162.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134395 + ... + 136325.

It is an arithmetic number, because the mean of its divisors is an integer number (5468112).

Almost surely, 2^261380160 is an apocalyptic number.

261380160 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 261380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459321408).

261380160 is an abundant number, since it is smaller than the sum of its proper divisors (657262656).

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

261380160 is a wasteful number, since it uses less digits than its factorization.

261380160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 261380160 is about 16167.2557968259. The cubic root of 261380160 is about 639.3777806801.

The spelling of 261380160 in words is "two hundred sixty-one million, three hundred eighty thousand, one hundred sixty".