261592320 has 216 divisors, whose sum is σ = 919947168. Its totient is φ = 63303680.

The previous prime is 261592313. The next prime is 261592327. The reversal of 261592320 is 23295162.

It is an interprime number because it is at equal distance from previous prime (261592313) and next prime (261592327).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261592327) 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 23 ways as a sum of consecutive naturals, for example, 464359 + ... + 464921.

Almost surely, 2^261592320 is an apocalyptic number.

261592320 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 261592320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459973584).

261592320 is an abundant number, since it is smaller than the sum of its proper divisors (658354848).

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

261592320 is a wasteful number, since it uses less digits than its factorization.

261592320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 261592320 is about 16173.8158762860. The cubic root of 261592320 is about 639.5507263548.

The spelling of 261592320 in words is "two hundred sixty-one million, five hundred ninety-two thousand, three hundred twenty".