1008961338 has 32 divisors (see below), whose sum is σ = 2515852800. Its totient is φ = 262067760.

The previous prime is 1008961321. The next prime is 1008961357. The reversal of 1008961338 is 8331698001.

1008961338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1008961296 and 1008961305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1091488 + ... + 1092411.

It is an arithmetic number, because the mean of its divisors is an integer number (78620400).

Almost surely, 2^1008961338 is an apocalyptic number.

1008961338 is an abundant number, since it is smaller than the sum of its proper divisors (1506891462).

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

1008961338 is a wasteful number, since it uses less digits than its factorization.

1008961338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183922.

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 1008961338 is about 31764.1517752324. The cubic root of 1008961338 is about 1002.9782339835.

The spelling of 1008961338 in words is "one billion, eight million, nine hundred sixty-one thousand, three hundred thirty-eight".