1038676608 has 320 divisors, whose sum is σ = 3358998720. Its totient is φ = 317399040.

The previous prime is 1038676601. The next prime is 1038676633. The reversal of 1038676608 is 8066768301.

1038676608 is a `hidden beast` number, since 1 + 0 + 38 + 6 + 7 + 6 + 608 = 666.

1038676608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038676601) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12514135 + ... + 12514217.

It is an arithmetic number, because the mean of its divisors is an integer number (10496871).

Almost surely, 2^1038676608 is an apocalyptic number.

1038676608 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 1038676608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679499360).

1038676608 is an abundant number, since it is smaller than the sum of its proper divisors (2320322112).

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

1038676608 is an equidigital number, since it uses as much as digits as its factorization.

1038676608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 176 counting only the distinct ones).

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

The square root of 1038676608 is about 32228.5061397515. The cubic root of 1038676608 is about 1012.7294755592.

The spelling of 1038676608 in words is "one billion, thirty-eight million, six hundred seventy-six thousand, six hundred eight".