261252360 has 96 divisors (see below), whose sum is σ = 853047000. Its totient is φ = 69341184.

The previous prime is 261252359. The next prime is 261252371. The reversal of 261252360 is 63252162.

It can be written as a sum of positive squares in 4 ways, for example, as 261080964 + 171396 = 16158^2 + 414^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80856 + ... + 84024.

Almost surely, 2^261252360 is an apocalyptic number.

261252360 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 261252360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426523500).

261252360 is an abundant number, since it is smaller than the sum of its proper divisors (591794640).

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

261252360 is a wasteful number, since it uses less digits than its factorization.

261252360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3415 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 261252360 is about 16163.3028802903. The cubic root of 261252360 is about 639.2735572614.

The spelling of 261252360 in words is "two hundred sixty-one million, two hundred fifty-two thousand, three hundred sixty".