261176320 has 88 divisors (see below), whose sum is σ = 648489600. Its totient is φ = 100810752.

The previous prime is 261176309. The next prime is 261176329. The reversal of 261176320 is 23671162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261176329) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 147601 + ... + 149359.

It is an arithmetic number, because the mean of its divisors is an integer number (7369200).

Almost surely, 2^261176320 is an apocalyptic number.

261176320 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 261176320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324244800).

261176320 is an abundant number, since it is smaller than the sum of its proper divisors (387313280).

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

261176320 is a wasteful number, since it uses less digits than its factorization.

261176320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 261176320 is about 16160.9504670982. The cubic root of 261176320 is about 639.2115290138.

The spelling of 261176320 in words is "two hundred sixty-one million, one hundred seventy-six thousand, three hundred twenty".