261109200 has 240 divisors, whose sum is σ = 925512192. Its totient is φ = 62400000.

The previous prime is 261109193. The next prime is 261109207. The reversal of 261109200 is 2901162.

It is an interprime number because it is at equal distance from previous prime (261109193) and next prime (261109207).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×261109200³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261109207) 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 47 ways as a sum of consecutive naturals, for example, 1729125 + ... + 1729275.

Almost surely, 2^261109200 is an apocalyptic number.

261109200 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 261109200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462756096).

261109200 is an abundant number, since it is smaller than the sum of its proper divisors (664402992).

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

261109200 is a wasteful number, since it uses less digits than its factorization.

261109200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 261109200 is about 16158.8737231281. The cubic root of 261109200 is about 639.1567670894.

The spelling of 261109200 in words is "two hundred sixty-one million, one hundred nine thousand, two hundred".