1264064000 has 80 divisors (see below), whose sum is σ = 3152182176. Its totient is φ = 505600000.

The previous prime is 1264063987. The next prime is 1264064003. The reversal of 1264064000 is 4604621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264064003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54125 + ... + 73875.

Almost surely, 2^1264064000 is an apocalyptic number.

1264064000 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 1264064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576091088).

1264064000 is an abundant number, since it is smaller than the sum of its proper divisors (1888118176).

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

1264064000 is an frugal number, since it uses more digits than its factorization.

1264064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19784 (or 19758 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 1264064000 is about 35553.6777281901. The cubic root of 1264064000 is about 1081.2422833490.

Adding to 1264064000 its reverse (4604621), we get a palindrome (1268668621).

The spelling of 1264064000 in words is "one billion, two hundred sixty-four million, sixty-four thousand".