1226382976 has 192 divisors, whose sum is σ = 3113397000. Its totient is φ = 479711232.

The previous prime is 1226382959. The next prime is 1226383003. The reversal of 1226382976 is 6792836221.

It can be written as a sum of positive squares in 4 ways, for example, as 1382976 + 1225000000 = 1176^2 + 35000^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13779540 + ... + 13779628.

Almost surely, 2^1226382976 is an apocalyptic number.

1226382976 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 1226382976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556698500).

1226382976 is an abundant number, since it is smaller than the sum of its proper divisors (1887014024).

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

1226382976 is an frugal number, since it uses more digits than its factorization.

1226382976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 111 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The square root of 1226382976 is about 35019.7512269862. The cubic root of 1226382976 is about 1070.3899868206.

The spelling of 1226382976 in words is "one billion, two hundred twenty-six million, three hundred eighty-two thousand, nine hundred seventy-six".