1281667968 has 256 divisors, whose sum is σ = 4465152000. Its totient is φ = 354170880.

The previous prime is 1281667951. The next prime is 1281667979. The reversal of 1281667968 is 8697661821.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749098 + ... + 750806.

It is an arithmetic number, because the mean of its divisors is an integer number (17442000).

Almost surely, 2^1281667968 is an apocalyptic number.

1281667968 is a gapful number since it is divisible by the number (18) 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 1281667968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232576000).

1281667968 is an abundant number, since it is smaller than the sum of its proper divisors (3183484032).

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

1281667968 is a wasteful number, since it uses less digits than its factorization.

1281667968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1752 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 1281667968 is about 35800.3906123942. The cubic root of 1281667968 is about 1086.2384629425.

The spelling of 1281667968 in words is "one billion, two hundred eighty-one million, six hundred sixty-seven thousand, nine hundred sixty-eight".