1264048128 has 288 divisors, whose sum is σ = 4257096480. Its totient is φ = 353894400.

The previous prime is 1264048091. The next prime is 1264048129. The reversal of 1264048128 is 8218404621.

1264048128 is a `hidden beast` number, since 1 + 2 + 640 + 4 + 8 + 1 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 1264048092 and 1264048101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264048129) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12515278 + ... + 12515378.

It is an arithmetic number, because the mean of its divisors is an integer number (14781585).

Almost surely, 2^1264048128 is an apocalyptic number.

1264048128 is a gapful number since it is divisible by the number (18) 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 1264048128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128548240).

1264048128 is an abundant number, since it is smaller than the sum of its proper divisors (2993048352).

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

1264048128 is a wasteful number, since it uses less digits than its factorization.

1264048128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1264048128 is about 35553.4545157007. The cubic root of 1264048128 is about 1081.2377578531.

The spelling of 1264048128 in words is "one billion, two hundred sixty-four million, forty-eight thousand, one hundred twenty-eight".