265633040 has 80 divisors (see below), whose sum is σ = 649712880. Its totient is φ = 100853760.

The previous prime is 265632959. The next prime is 265633061. The reversal of 265633040 is 40336562.

It can be written as a sum of positive squares in 8 ways, for example, as 22771984 + 242861056 = 4772^2 + 15584^2 .

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 (29).

It is a junction number, because it is equal to n+sod(n) for n = 265632994 and 265633012.

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, 140582 + ... + 142458.

It is an arithmetic number, because the mean of its divisors is an integer number (8121411).

Almost surely, 2^265633040 is an apocalyptic number.

265633040 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 265633040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324856440).

265633040 is an abundant number, since it is smaller than the sum of its proper divisors (384079840).

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

265633040 is a wasteful number, since it uses less digits than its factorization.

265633040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 265633040 is about 16298.2526670806. The cubic root of 265633040 is about 642.8268832788.

The spelling of 265633040 in words is "two hundred sixty-five million, six hundred thirty-three thousand, forty".