1265616 has 120 divisors (see below), whose sum is σ = 4178304. Its totient is φ = 353280.

The previous prime is 1265611. The next prime is 1265617. The reversal of 1265616 is 6165621.

It is a happy number.

1265616 is a `hidden beast` number, since 1 + 2 + 656 + 1 + 6 = 666.

Its product of digits (2160) is a multiple of the sum of its prime divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1265616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1265611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26905 + ... + 26951.

2^1265616 is an apocalyptic number.

1265616 is a gapful number since it is divisible by the number (16) 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 1265616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089152).

1265616 is an abundant number, since it is smaller than the sum of its proper divisors (2912688).

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

1265616 is a wasteful number, since it uses less digits than its factorization.

1265616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 80 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 1265616 is about 1124.9959999929. The cubic root of 1265616 is about 108.1684613725.

It can be divided in two parts, 1265 and 616, that added together give a palindrome (1881).

The spelling of 1265616 in words is "one million, two hundred sixty-five thousand, six hundred sixteen".