1264131360 has 240 divisors, whose sum is σ = 4509400896. Its totient is φ = 333476352.

The previous prime is 1264131353. The next prime is 1264131371. The reversal of 1264131360 is 631314621.

1264131360 is a `hidden beast` number, since 1 + 2 + 641 + 3 + 13 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 1334407 + ... + 1335353.

Almost surely, 2^1264131360 is an apocalyptic number.

1264131360 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 1264131360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254700448).

1264131360 is an abundant number, since it is smaller than the sum of its proper divisors (3245269536).

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

1264131360 is a wasteful number, since it uses less digits than its factorization.

1264131360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1264131360 is about 35554.6250156010. The cubic root of 1264131360 is about 1081.2614889131.

Adding to 1264131360 its reverse (631314621), we get a palindrome (1895445981).

The spelling of 1264131360 in words is "one billion, two hundred sixty-four million, one hundred thirty-one thousand, three hundred sixty".