261525360 has 80 divisors (see below), whose sum is σ = 818831520. Its totient is φ = 69043200.

The previous prime is 261525353. The next prime is 261525377. The reversal of 261525360 is 63525162.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18846 + ... + 29634.

It is an arithmetic number, because the mean of its divisors is an integer number (10235394).

Almost surely, 2^261525360 is an apocalyptic number.

261525360 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 261525360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409415760).

261525360 is an abundant number, since it is smaller than the sum of its proper divisors (557306160).

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

261525360 is a wasteful number, since it uses less digits than its factorization.

261525360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10906 (or 10900 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 261525360 is about 16171.7457313674. The cubic root of 261525360 is about 639.4961529241.

The spelling of 261525360 in words is "two hundred sixty-one million, five hundred twenty-five thousand, three hundred sixty".