1008680976 has 180 divisors, whose sum is σ = 3010946796. Its totient is φ = 314979840.

The previous prime is 1008680947. The next prime is 1008680983. The reversal of 1008680976 is 6790868001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 953327376 + 55353600 = 30876^2 + 7440^2 .

It is a super-2 number, since 2×1008680976² = 2034874622688625152, which contains 22 as substring.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 5120110 + ... + 5120306.

Almost surely, 2^1008680976 is an apocalyptic number.

1008680976 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 1008680976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505473398).

1008680976 is an abundant number, since it is smaller than the sum of its proper divisors (2002265820).

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

1008680976 is a wasteful number, since it uses less digits than its factorization.

1008680976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1008680976 is about 31759.7382860753. The cubic root of 1008680976 is about 1002.8853255562.

The spelling of 1008680976 in words is "one billion, eight million, six hundred eighty thousand, nine hundred seventy-six".