261984160 has 48 divisors (see below), whose sum is σ = 651520800. Its totient is φ = 99277056.

The previous prime is 261984113. The next prime is 261984169. The reversal of 261984160 is 61489162.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (261984169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40050 + ... + 46129.

It is an arithmetic number, because the mean of its divisors is an integer number (13573350).

Almost surely, 2^261984160 is an apocalyptic number.

261984160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261984160 is an abundant number, since it is smaller than the sum of its proper divisors (389536640).

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

261984160 is a wasteful number, since it uses less digits than its factorization.

261984160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86213 (or 86205 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 261984160 is about 16185.9247496088. The cubic root of 261984160 is about 639.8698954280.

It can be divided in two parts, 261984 and 160, that added together give a 18-th power (262144 = 2¹⁸).

The spelling of 261984160 in words is "two hundred sixty-one million, nine hundred eighty-four thousand, one hundred sixty".