265120000 has 90 divisors (see below), whose sum is σ = 661692878. Its totient is φ = 105984000.

The previous prime is 265119991. The next prime is 265120019. The reversal of 265120000 is 21562.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 128323584 + 136796416 = 11328^2 + 11696^2 .

It is a super-2 number, since 2×265120000² = 140577228800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159172 + ... + 160828.

Almost surely, 2^265120000 is an apocalyptic number.

265120000 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 265120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330846439).

265120000 is an abundant number, since it is smaller than the sum of its proper divisors (396572878).

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

265120000 is an frugal number, since it uses more digits than its factorization.

265120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 265120000 is about 16282.5059496381. The cubic root of 265120000 is about 642.4127675581.

Adding to 265120000 its reverse (21562), we get a palindrome (265141562).

The spelling of 265120000 in words is "two hundred sixty-five million, one hundred twenty thousand".