1146676608 has 512 divisors, whose sum is σ = 4386816000. Its totient is φ = 286156800.

The previous prime is 1146676589. The next prime is 1146676633. The reversal of 1146676608 is 8066766411.

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 63 ways as a sum of consecutive naturals, for example, 8249403 + ... + 8249541.

It is an arithmetic number, because the mean of its divisors is an integer number (8568000).

Almost surely, 2^1146676608 is an apocalyptic number.

1146676608 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 1146676608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193408000).

1146676608 is an abundant number, since it is smaller than the sum of its proper divisors (3240139392).

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

1146676608 is a wasteful number, since it uses less digits than its factorization.

1146676608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1146676608 is about 33862.6137207393. The cubic root of 1146676608 is about 1046.6793379311.

The spelling of 1146676608 in words is "one billion, one hundred forty-six million, six hundred seventy-six thousand, six hundred eight".