261264360 has 128 divisors (see below), whose sum is σ = 934778880. Its totient is φ = 57116928.

The previous prime is 261264317. The next prime is 261264371. The reversal of 261264360 is 63462162.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12559 + ... + 26081.

It is an arithmetic number, because the mean of its divisors is an integer number (7302960).

Almost surely, 2^261264360 is an apocalyptic number.

261264360 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 261264360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467389440).

261264360 is an abundant number, since it is smaller than the sum of its proper divisors (673514520).

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

261264360 is a wasteful number, since it uses less digits than its factorization.

261264360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13567 (or 13563 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 261264360 is about 16163.6740872860. The cubic root of 261264360 is about 639.2833449436.

The spelling of 261264360 in words is "two hundred sixty-one million, two hundred sixty-four thousand, three hundred sixty".