265135680 has 280 divisors, whose sum is σ = 965908152. Its totient is φ = 69009408.

The previous prime is 265135679. The next prime is 265135687. The reversal of 265135680 is 86531562.

265135680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 23270976 + 241864704 = 4824^2 + 15552^2 .

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

It is not an unprimeable number, because it can be changed into a prime (265135687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1373664 + ... + 1373856.

Almost surely, 2^265135680 is an apocalyptic number.

265135680 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 265135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482954076).

265135680 is an abundant number, since it is smaller than the sum of its proper divisors (700772472).

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

265135680 is a wasteful number, since it uses less digits than its factorization.

265135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 265135680 is about 16282.9874408844. The cubic root of 265135680 is about 642.4254320542.

The spelling of 265135680 in words is "two hundred sixty-five million, one hundred thirty-five thousand, six hundred eighty".