1276684416 has 320 divisors, whose sum is σ = 4443120000. Its totient is φ = 363750912.

The previous prime is 1276684399. The next prime is 1276684427. The reversal of 1276684416 is 6144866721.

It is a super-2 number, since 2×1276684416² = 3259846196114522112, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3556045 + ... + 3556403.

It is an arithmetic number, because the mean of its divisors is an integer number (13884750).

Almost surely, 2^1276684416 is an apocalyptic number.

1276684416 is a gapful number since it is divisible by the number (16) 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 1276684416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221560000).

1276684416 is an abundant number, since it is smaller than the sum of its proper divisors (3166435584).

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

1276684416 is an frugal number, since it uses more digits than its factorization.

1276684416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 371 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 1276684416 is about 35730.7208995285. The cubic root of 1276684416 is about 1084.8287485529.

The spelling of 1276684416 in words is "one billion, two hundred seventy-six million, six hundred eighty-four thousand, four hundred sixteen".