1264861824 has 64 divisors (see below), whose sum is σ = 3416796000. Its totient is φ = 414467072.

The previous prime is 1264861823. The next prime is 1264861889. The reversal of 1264861824 is 4281684621.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1264861823) 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, 5259 + ... + 50570.

Almost surely, 2^1264861824 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 1264861824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708398000).

1264861824 is an abundant number, since it is smaller than the sum of its proper divisors (2151934176).

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

1264861824 is an equidigital number, since it uses as much as digits as its factorization.

1264861824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55905 (or 55893 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 1264861824 is about 35564.8959509233. The cubic root of 1264861824 is about 1081.4697137163.

The spelling of 1264861824 in words is "one billion, two hundred sixty-four million, eight hundred sixty-one thousand, eight hundred twenty-four".