1264083792 has 80 divisors (see below), whose sum is σ = 3369992640. Its totient is φ = 408038400.

The previous prime is 1264083763. The next prime is 1264083809. The reversal of 1264083792 is 2973804621.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 271242 + ... + 275862.

It is an arithmetic number, because the mean of its divisors is an integer number (42124908).

Almost surely, 2^1264083792 is an apocalyptic number.

1264083792 is a gapful number since it is divisible by the number (12) 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 1264083792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684996320).

1264083792 is an abundant number, since it is smaller than the sum of its proper divisors (2105908848).

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

1264083792 is a wasteful number, since it uses less digits than its factorization.

1264083792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 1264083792 is about 35553.9560668008. The cubic root of 1264083792 is about 1081.2479264798.

The spelling of 1264083792 in words is "one billion, two hundred sixty-four million, eighty-three thousand, seven hundred ninety-two".