265658240 has 64 divisors (see below), whose sum is σ = 637202160. Its totient is φ = 105910272.

The previous prime is 265658231. The next prime is 265658249. The reversal of 265658240 is 42856562.

It is an interprime number because it is at equal distance from previous prime (265658231) and next prime (265658249).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×265658240³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 265658194 and 265658203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (265658249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283052 + ... + 283988.

Almost surely, 2^265658240 is an apocalyptic number.

265658240 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 265658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318601080).

265658240 is an abundant number, since it is smaller than the sum of its proper divisors (371543920).

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

265658240 is an equidigital number, since it uses as much as digits as its factorization.

265658240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The square root of 265658240 is about 16299.0257377550. The cubic root of 265658240 is about 642.8472104756.

The spelling of 265658240 in words is "two hundred sixty-five million, six hundred fifty-eight thousand, two hundred forty".