1264093344 has 192 divisors, whose sum is σ = 3951763200. Its totient is φ = 391716864.

The previous prime is 1264093343. The next prime is 1264093367. The reversal of 1264093344 is 4433904621.

It is a happy number.

1264093344 is a `hidden beast` number, since 1 + 2 + 640 + 9 + 3 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1264093299 and 1264093308.

It is not an unprimeable number, because it can be changed into a prime (1264093343) 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 31 ways as a sum of consecutive naturals, for example, 1306749 + ... + 1307715.

It is an arithmetic number, because the mean of its divisors is an integer number (20582100).

Almost surely, 2^1264093344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1264093344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975881600).

1264093344 is an abundant number, since it is smaller than the sum of its proper divisors (2687669856).

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

1264093344 is a wasteful number, since it uses less digits than its factorization.

1264093344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 1264093344 is about 35554.0903975900. The cubic root of 1264093344 is about 1081.2506499423.

Adding to 1264093344 its reverse (4433904621), we get a palindrome (5697997965).

The spelling of 1264093344 in words is "one billion, two hundred sixty-four million, ninety-three thousand, three hundred forty-four".