265505760 has 216 divisors, whose sum is σ = 981994104. Its totient is φ = 65295360.

The previous prime is 265505749. The next prime is 265505761. The reversal of 265505760 is 67505562.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (265505761) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 242815 + ... + 243905.

It is an arithmetic number, because the mean of its divisors is an integer number (4546269).

Almost surely, 2^265505760 is an apocalyptic number.

265505760 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 265505760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490997052).

265505760 is an abundant number, since it is smaller than the sum of its proper divisors (716488344).

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

265505760 is a wasteful number, since it uses less digits than its factorization.

265505760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 265505760 is about 16294.3474861683. The cubic root of 265505760 is about 642.7241951528.

The spelling of 265505760 in words is "two hundred sixty-five million, five hundred five thousand, seven hundred sixty".