1268047872 has 504 divisors, whose sum is σ = 4758802776. Its totient is φ = 334430208.

The previous prime is 1268047871. The next prime is 1268047873. The reversal of 1268047872 is 2787408621.

It is an interprime number because it is at equal distance from previous prime (1268047871) and next prime (1268047873).

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268047871) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97542138 + ... + 97542150.

It is an arithmetic number, because the mean of its divisors is an integer number (9442069).

Almost surely, 2^1268047872 is an apocalyptic number.

1268047872 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 1268047872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379401388).

1268047872 is an abundant number, since it is smaller than the sum of its proper divisors (3490754904).

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

1268047872 is an frugal number, since it uses more digits than its factorization.

1268047872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 1268047872 is about 35609.6598130339. The cubic root of 1268047872 is about 1082.3769868412.

The spelling of 1268047872 in words is "one billion, two hundred sixty-eight million, forty-seven thousand, eight hundred seventy-two".