265416640 has 56 divisors (see below), whose sum is σ = 646755120. Its totient is φ = 103692288.

The previous prime is 265416629. The next prime is 265416647. The reversal of 265416640 is 46614562.

It is a junction number, because it is equal to n+sod(n) for n = 265416596 and 265416605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (265416647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4116 + ... + 23404.

Almost surely, 2^265416640 is an apocalyptic number.

265416640 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 265416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323377560).

265416640 is an abundant number, since it is smaller than the sum of its proper divisors (381338480).

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

265416640 is a wasteful number, since it uses less digits than its factorization.

265416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19349 (or 19339 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 265416640 is about 16291.6125659801. The cubic root of 265416640 is about 642.6522745658.

The spelling of 265416640 in words is "two hundred sixty-five million, four hundred sixteen thousand, six hundred forty".