1264123296 has 72 divisors (see below), whose sum is σ = 3598305984. Its totient is φ = 420969600.

The previous prime is 1264123279. The next prime is 1264123297. The reversal of 1264123296 is 6923214621.

It is a happy number.

1264123296 is a `hidden beast` number, since 1 + 2 + 641 + 2 + 3 + 2 + 9 + 6 = 666.

1264123296 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 1264123296.

It is not an unprimeable number, because it can be changed into a prime (1264123297) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 536521 + ... + 538871.

It is an arithmetic number, because the mean of its divisors is an integer number (49976472).

Almost surely, 2^1264123296 is an apocalyptic number.

1264123296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1264123296 is an abundant number, since it is smaller than the sum of its proper divisors (2334182688).

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

1264123296 is a wasteful number, since it uses less digits than its factorization.

1264123296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4234 (or 4223 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 1264123296 is about 35554.5116124522. The cubic root of 1264123296 is about 1081.2591897556.

It can be divided in two parts, 12641 and 23296, that added together give a cube (35937 = 33³).

The spelling of 1264123296 in words is "one billion, two hundred sixty-four million, one hundred twenty-three thousand, two hundred ninety-six".