261716120 has 64 divisors (see below), whose sum is σ = 614809440. Its totient is φ = 100172800.

The previous prime is 261716113. The next prime is 261716179. The reversal of 261716120 is 21617162.

It is a self number, because there is not a number n which added to its sum of digits gives 261716120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85415 + ... + 88425.

Almost surely, 2^261716120 is an apocalyptic number.

261716120 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 261716120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307404720).

261716120 is an abundant number, since it is smaller than the sum of its proper divisors (353093320).

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

261716120 is a wasteful number, since it uses less digits than its factorization.

261716120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 261716120 is about 16177.6425971153. The cubic root of 261716120 is about 639.6516007396.

The spelling of 261716120 in words is "two hundred sixty-one million, seven hundred sixteen thousand, one hundred twenty".