1268387280 has 120 divisors (see below), whose sum is σ = 4269269160. Its totient is φ = 337474560.

The previous prime is 1268387273. The next prime is 1268387291. The reversal of 1268387280 is 827838621.

1268387280 is a `hidden beast` number, since 1 + 268 + 387 + 2 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 132158016 + 1136229264 = 11496^2 + 33708^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364750 + ... + 368210.

It is an arithmetic number, because the mean of its divisors is an integer number (35577243).

Almost surely, 2^1268387280 is an apocalyptic number.

1268387280 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 1268387280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134634580).

1268387280 is an abundant number, since it is smaller than the sum of its proper divisors (3000881880).

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

1268387280 is a wasteful number, since it uses less digits than its factorization.

1268387280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3989 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1268387280 is about 35614.4251673391. The cubic root of 1268387280 is about 1082.4735485574.

The spelling of 1268387280 in words is "one billion, two hundred sixty-eight million, three hundred eighty-seven thousand, two hundred eighty".