1008287104 has 64 divisors (see below), whose sum is σ = 2196492480. Its totient is φ = 457228800.

The previous prime is 1008287089. The next prime is 1008287113. The reversal of 1008287104 is 4017828001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1141447 + ... + 1142329.

It is an arithmetic number, because the mean of its divisors is an integer number (34320195).

Almost surely, 2^1008287104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008287104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098246240).

1008287104 is an abundant number, since it is smaller than the sum of its proper divisors (1188205376).

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

1008287104 is an equidigital number, since it uses as much as digits as its factorization.

1008287104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 1008287104 is about 31753.5368738665. The cubic root of 1008287104 is about 1002.7547722613.

The spelling of 1008287104 in words is "one billion, eight million, two hundred eighty-seven thousand, one hundred four".