1268676864 has 288 divisors, whose sum is σ = 4619767040. Its totient is φ = 334430208.

The previous prime is 1268676863. The next prime is 1268676869. The reversal of 1268676864 is 4686768621.

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 (54).

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 1268676864.

It is not an unprimeable number, because it can be changed into a prime (1268676863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 627984 + ... + 630000.

Almost surely, 2^1268676864 is an apocalyptic number.

1268676864 is a gapful number since it is divisible by the number (14) 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 1268676864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309883520).

1268676864 is an abundant number, since it is smaller than the sum of its proper divisors (3351090176).

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

1268676864 is a wasteful number, since it uses less digits than its factorization.

1268676864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2042 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 1268676864 is about 35618.4904789633. The cubic root of 1268676864 is about 1082.5559217075. Note that the first 3 decimals are identical.

The spelling of 1268676864 in words is "one billion, two hundred sixty-eight million, six hundred seventy-six thousand, eight hundred sixty-four".