1268739504 has 80 divisors (see below), whose sum is σ = 3648576000. Its totient is φ = 422121024.

The previous prime is 1268739503. The next prime is 1268739523. The reversal of 1268739504 is 4059378621.

1268739504 is a `hidden beast` number, since 12 + 68 + 73 + 9 + 504 = 666.

1268739504 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1268739504 is strictly pandigital in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 1268739504.

It is not an unprimeable number, because it can be changed into a prime (1268739503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256317 + ... + 261219.

It is an arithmetic number, because the mean of its divisors is an integer number (45607200).

It is a 1-persistent number, because it is pandigital, but 2⋅1268739504 = 2537479008 is not.

Almost surely, 2^1268739504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1268739504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824288000).

1268739504 is an abundant number, since it is smaller than the sum of its proper divisors (2379836496).

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

1268739504 is a wasteful number, since it uses less digits than its factorization.

1268739504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5519 (or 5507 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1268739504 is about 35619.3697866765. The cubic root of 1268739504 is about 1082.5737382188.

The spelling of 1268739504 in words is "one billion, two hundred sixty-eight million, seven hundred thirty-nine thousand, five hundred four".