265212640 has 288 divisors, whose sum is σ = 836559360. Its totient is φ = 77552640.

The previous prime is 265212637. The next prime is 265212653. The reversal of 265212640 is 46212562.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 265212599 and 265212608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2574829 + ... + 2574931.

It is an arithmetic number, because the mean of its divisors is an integer number (2904720).

Almost surely, 2^265212640 is an apocalyptic number.

265212640 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 265212640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418279680).

265212640 is an abundant number, since it is smaller than the sum of its proper divisors (571346720).

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

265212640 is a wasteful number, since it uses less digits than its factorization.

265212640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 265212640 is about 16285.3504721268. The cubic root of 265212640 is about 642.4875842302.

It can be divided in two parts, 26521 and 2640, that added together give a triangular number (29161 = T₂₄₁).

The spelling of 265212640 in words is "two hundred sixty-five million, two hundred twelve thousand, six hundred forty".