1038768 has 80 divisors (see below), whose sum is σ = 3035520. Its totient is φ = 304128.

The previous prime is 1038757. The next prime is 1038797. The reversal of 1038768 is 8678301.

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, 15471 + ... + 15537.

It is an arithmetic number, because the mean of its divisors is an integer number (37944).

2^1038768 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 1038768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517760).

1038768 is an abundant number, since it is smaller than the sum of its proper divisors (1996752).

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

1038768 is a wasteful number, since it uses less digits than its factorization.

1038768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 1038768 is about 1019.1996860282. The cubic root of 1038768 is about 101.2759177668.

The spelling of 1038768 in words is "one million, thirty-eight thousand, seven hundred sixty-eight".