261806160 has 320 divisors, whose sum is σ = 1046790144. Its totient is φ = 52531200.

The previous prime is 261806159. The next prime is 261806173. The reversal of 261806160 is 61608162.

261806160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 572652 + ... + 573108.

Almost surely, 2^261806160 is an apocalyptic number.

261806160 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 261806160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523395072).

261806160 is an abundant number, since it is smaller than the sum of its proper divisors (784983984).

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

261806160 is a wasteful number, since it uses less digits than its factorization.

261806160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 261806160 is about 16180.4252107292. The cubic root of 261806160 is about 639.7249469114.

The spelling of 261806160 in words is "two hundred sixty-one million, eight hundred six thousand, one hundred sixty".