1264541824 has 144 divisors (see below), whose sum is σ = 3175926570. Its totient is φ = 499838976.

The previous prime is 1264541819. The next prime is 1264541849. The reversal of 1264541824 is 4281454621.

It can be written as a sum of positive squares in 3 ways, for example, as 643535424 + 621006400 = 25368^2 + 24920^2 .

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 17 ways as a sum of consecutive naturals, for example, 1059372 + ... + 1060564.

Almost surely, 2^1264541824 is an apocalyptic number.

1264541824 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 1264541824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587963285).

1264541824 is an abundant number, since it is smaller than the sum of its proper divisors (1911384746).

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

1264541824 is a wasteful number, since it uses less digits than its factorization.

1264541824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1215 counting only the distinct ones).

The product of its digits is 61440, while the sum is 37.

The square root of 1264541824 is about 35560.3968481793. The cubic root of 1264541824 is about 1081.3785049402.

The spelling of 1264541824 in words is "one billion, two hundred sixty-four million, five hundred forty-one thousand, eight hundred twenty-four".