261201360 has 320 divisors, whose sum is σ = 999936000. Its totient is φ = 56222208.

The previous prime is 261201349. The next prime is 261201377. The reversal of 261201360 is 63102162.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1563997 + ... + 1564163.

It is an arithmetic number, because the mean of its divisors is an integer number (3124800).

Almost surely, 2^261201360 is an apocalyptic number.

261201360 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 261201360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968000).

261201360 is an abundant number, since it is smaller than the sum of its proper divisors (738734640).

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

261201360 is a wasteful number, since it uses less digits than its factorization.

261201360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 261201360 is about 16161.7251554406. The cubic root of 261201360 is about 639.2319562679.

The spelling of 261201360 in words is "two hundred sixty-one million, two hundred one thousand, three hundred sixty".