261206160 has 80 divisors (see below), whose sum is σ = 821197440. Its totient is φ = 68669440.

The previous prime is 261206149. The next prime is 261206171. The reversal of 261206160 is 61602162.

It is an interprime number because it is at equal distance from previous prime (261206149) and next prime (261206171).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 261206160.

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, 9376 + ... + 24704.

It is an arithmetic number, because the mean of its divisors is an integer number (10264968).

Almost surely, 2^261206160 is an apocalyptic number.

261206160 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 261206160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410598720).

261206160 is an abundant number, since it is smaller than the sum of its proper divisors (559991280).

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

261206160 is a wasteful number, since it uses less digits than its factorization.

261206160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15416 (or 15410 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 261206160 is about 16161.8736537569. The cubic root of 261206160 is about 639.2358718864.

The spelling of 261206160 in words is "two hundred sixty-one million, two hundred six thousand, one hundred sixty".