261180612 has 360 divisors, whose sum is σ = 929396160. Its totient is φ = 62052480.

The previous prime is 261180553. The next prime is 261180613. The reversal of 261180612 is 216081162.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (261180613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9006214 + ... + 9006242.

It is an arithmetic number, because the mean of its divisors is an integer number (2581656).

Almost surely, 2^261180612 is an apocalyptic number.

261180612 is a gapful number since it is divisible by the number (22) 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 261180612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464698080).

261180612 is an abundant number, since it is smaller than the sum of its proper divisors (668215548).

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

261180612 is a wasteful number, since it uses less digits than its factorization.

261180612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 261180612 is about 16161.0832557722. The cubic root of 261180612 is about 639.2150304553.

The spelling of 261180612 in words is "two hundred sixty-one million, one hundred eighty thousand, six hundred twelve".