1003608864 has 144 divisors (see below), whose sum is σ = 3004065792. Its totient is φ = 317205504.

The previous prime is 1003608839. The next prime is 1003608877. The reversal of 1003608864 is 4688063001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 840652 + ... + 841844.

It is an arithmetic number, because the mean of its divisors is an integer number (20861568).

Almost surely, 2^1003608864 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 1003608864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502032896).

1003608864 is an abundant number, since it is smaller than the sum of its proper divisors (2000456928).

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

1003608864 is a wasteful number, since it uses less digits than its factorization.

1003608864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1003608864 is about 31679.7863629160. The cubic root of 1003608864 is about 1001.2015104611.

The spelling of 1003608864 in words is "one billion, three million, six hundred eight thousand, eight hundred sixty-four".