265680000 has 400 divisors, whose sum is σ = 1012105710. Its totient is φ = 69120000.

The previous prime is 265679987. The next prime is 265680001. The reversal of 265680000 is 86562.

265680000 is a `hidden beast` number, since 2 + 656 + 8 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 7884864 + 257795136 = 2808^2 + 16056^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (265680001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 6479980 + ... + 6480020.

Almost surely, 2^265680000 is an apocalyptic number.

265680000 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 265680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506052855).

265680000 is an abundant number, since it is smaller than the sum of its proper divisors (746425710).

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

265680000 is an frugal number, since it uses more digits than its factorization.

265680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 265680000 is about 16299.6932486473. The cubic root of 265680000 is about 642.8647618145.

The spelling of 265680000 in words is "two hundred sixty-five million, six hundred eighty thousand".