1268324640 has 144 divisors (see below), whose sum is σ = 4721685696. Its totient is φ = 307468800.

The previous prime is 1268324639. The next prime is 1268324647. The reversal of 1268324640 is 464238621.

1268324640 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 3 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1268324640² = 3217294784862259200, which contains 22 as substring.

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 = 1268324595 and 1268324604.

It is not an unprimeable number, because it can be changed into a prime (1268324647) 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, 24196 + ... + 55875.

It is an arithmetic number, because the mean of its divisors is an integer number (32789484).

Almost surely, 2^1268324640 is an apocalyptic number.

1268324640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1268324640 is an abundant number, since it is smaller than the sum of its proper divisors (3453361056).

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

1268324640 is a wasteful number, since it uses less digits than its factorization.

1268324640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80103 (or 80092 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1268324640 is about 35613.5457375421. The cubic root of 1268324640 is about 1082.4557287479.

The spelling of 1268324640 in words is "one billion, two hundred sixty-eight million, three hundred twenty-four thousand, six hundred forty".