261278160 has 320 divisors, whose sum is σ = 995936256. Its totient is φ = 55756800.

The previous prime is 261278159. The next prime is 261278167. The reversal of 261278160 is 61872162.

261278160 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261278167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 789195 + ... + 789525.

Almost surely, 2^261278160 is an apocalyptic number.

261278160 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 261278160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497968128).

261278160 is an abundant number, since it is smaller than the sum of its proper divisors (734658096).

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

261278160 is a wasteful number, since it uses less digits than its factorization.

261278160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 261278160 is about 16164.1009647923. The cubic root of 261278160 is about 639.2946004076.

The spelling of 261278160 in words is "two hundred sixty-one million, two hundred seventy-eight thousand, one hundred sixty".