1268792280 has 288 divisors, whose sum is σ = 5080177440. Its totient is φ = 272885760.

The previous prime is 1268792269. The next prime is 1268792299. The reversal of 1268792280 is 822978621.

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 71 ways as a sum of consecutive naturals, for example, 297765 + ... + 301995.

It is an arithmetic number, because the mean of its divisors is an integer number (17639505).

Almost surely, 2^1268792280 is an apocalyptic number.

1268792280 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 1268792280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540088720).

1268792280 is an abundant number, since it is smaller than the sum of its proper divisors (3811385160).

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

1268792280 is a wasteful number, since it uses less digits than its factorization.

1268792280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4279 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1268792280 is about 35620.1106118440. The cubic root of 1268792280 is about 1082.5887486863.

The spelling of 1268792280 in words is "one billion, two hundred sixty-eight million, seven hundred ninety-two thousand, two hundred eighty".