261515160 has 48 divisors (see below), whose sum is σ = 849925440. Its totient is φ = 69737280.

The previous prime is 261515147. The next prime is 261515161. The reversal of 261515160 is 61515162.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261515161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 362856 + ... + 363575.

It is an arithmetic number, because the mean of its divisors is an integer number (17706780).

Almost surely, 2^261515160 is an apocalyptic number.

261515160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261515160 is an abundant number, since it is smaller than the sum of its proper divisors (588410280).

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

261515160 is a wasteful number, since it uses less digits than its factorization.

261515160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726448 (or 726441 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 261515160 is about 16171.4303634527. The cubic root of 261515160 is about 639.4878389495.

The spelling of 261515160 in words is "two hundred sixty-one million, five hundred fifteen thousand, one hundred sixty".