1265082680 has 64 divisors (see below), whose sum is σ = 2890460160. Its totient is φ = 498250368.

The previous prime is 1265082673. The next prime is 1265082683. The reversal of 1265082680 is 862805621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1265082683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1536749 + ... + 1537571.

It is an arithmetic number, because the mean of its divisors is an integer number (45163440).

Almost surely, 2^1265082680 is an apocalyptic number.

1265082680 is a gapful number since it is divisible by the number (10) 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 1265082680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445230080).

1265082680 is an abundant number, since it is smaller than the sum of its proper divisors (1625377480).

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

1265082680 is a wasteful number, since it uses less digits than its factorization.

1265082680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 1265082680 is about 35568.0007872245. Note that the first 3 decimals coincide. The cubic root of 1265082680 is about 1081.5326547612.

The spelling of 1265082680 in words is "one billion, two hundred sixty-five million, eighty-two thousand, six hundred eighty".