261123360 has 48 divisors (see below), whose sum is σ = 822540096. Its totient is φ = 69632768.

The previous prime is 261123311. The next prime is 261123367. The reversal of 261123360 is 63321162.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 261123360.

It is not an unprimeable number, because it can be changed into a prime (261123367) 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, 271524 + ... + 272483.

It is an arithmetic number, because the mean of its divisors is an integer number (17136252).

Almost surely, 2^261123360 is an apocalyptic number.

261123360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261123360 is an abundant number, since it is smaller than the sum of its proper divisors (561416736).

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

261123360 is a wasteful number, since it uses less digits than its factorization.

261123360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544025 (or 544017 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 261123360 is about 16159.3118665369. The cubic root of 261123360 is about 639.1683207436.

The spelling of 261123360 in words is "two hundred sixty-one million, one hundred twenty-three thousand, three hundred sixty".