261407160 has 384 divisors, whose sum is σ = 1038960000. Its totient is φ = 56899584.

The previous prime is 261407137. The next prime is 261407171. The reversal of 261407160 is 61704162.

261407160 = 1768² + 1769² + ... + 1847².

261407160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3580884 + ... + 3580956.

It is an arithmetic number, because the mean of its divisors is an integer number (2705625).

Almost surely, 2^261407160 is an apocalyptic number.

261407160 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 261407160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519480000).

261407160 is an abundant number, since it is smaller than the sum of its proper divisors (777552840).

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

261407160 is a wasteful number, since it uses less digits than its factorization.

261407160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 261407160 is about 16168.0907963804. The cubic root of 261407160 is about 639.3997953651.

The spelling of 261407160 in words is "two hundred sixty-one million, four hundred seven thousand, one hundred sixty".