1264728312 has 96 divisors (see below), whose sum is σ = 3693690000. Its totient is φ = 389629440.

The previous prime is 1264728287. The next prime is 1264728313. The reversal of 1264728312 is 2138274621.

It is a happy number.

1264728312 is a `hidden beast` number, since 1 + 2 + 647 + 2 + 8 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264728313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44814 + ... + 67362.

Almost surely, 2^1264728312 is an apocalyptic number.

1264728312 is a gapful number since it is divisible by the number (12) 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 1264728312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846845000).

1264728312 is an abundant number, since it is smaller than the sum of its proper divisors (2428961688).

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

1264728312 is a wasteful number, since it uses less digits than its factorization.

1264728312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22621 (or 22614 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 1264728312 is about 35563.0188819791. The cubic root of 1264728312 is about 1081.4316610051.

The spelling of 1264728312 in words is "one billion, two hundred sixty-four million, seven hundred twenty-eight thousand, three hundred twelve".