1265793984 has 672 divisors, whose sum is σ = 4970434560. Its totient is φ = 298598400.

The previous prime is 1265793979. The next prime is 1265794009. The reversal of 1265793984 is 4893975621.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 1265793984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30873004 + ... + 30873044.

It is an arithmetic number, because the mean of its divisors is an integer number (7396480).

Almost surely, 2^1265793984 is an apocalyptic number.

1265793984 is a gapful number since it is divisible by the number (14) 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 1265793984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485217280).

1265793984 is an abundant number, since it is smaller than the sum of its proper divisors (3704640576).

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

1265793984 is a wasteful number, since it uses less digits than its factorization.

1265793984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 116 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 1265793984 is about 35577.9985946371. The cubic root of 1265793984 is about 1081.7353172378.

The spelling of 1265793984 in words is "one billion, two hundred sixty-five million, seven hundred ninety-three thousand, nine hundred eighty-four".