1268719480 has 128 divisors (see below), whose sum is σ = 3374784000. Its totient is φ = 420272640.

The previous prime is 1268719477. The next prime is 1268719481. The reversal of 1268719480 is 849178621.

It is a self number, because there is not a number n which added to its sum of digits gives 1268719480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268719481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1007091 + ... + 1008349.

It is an arithmetic number, because the mean of its divisors is an integer number (26365500).

Almost surely, 2^1268719480 is an apocalyptic number.

1268719480 is a gapful number since it is divisible by the number (10) 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 1268719480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687392000).

1268719480 is an abundant number, since it is smaller than the sum of its proper divisors (2106064520).

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

1268719480 is a wasteful number, since it uses less digits than its factorization.

1268719480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The square root of 1268719480 is about 35619.0887025482. The cubic root of 1268719480 is about 1082.5680429150.

The spelling of 1268719480 in words is "one billion, two hundred sixty-eight million, seven hundred nineteen thousand, four hundred eighty".