1038368 has 24 divisors (see below), whose sum is σ = 2101932. Its totient is φ = 504576.

The previous prime is 1038337. The next prime is 1038383. The reversal of 1038368 is 8638301.

It can be written as a sum of positive squares in 2 ways, for example, as 868624 + 169744 = 932^2 + 412^2 .

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 1038368.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 746 + ... + 1622.

2^1038368 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 1038368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050966).

1038368 is an abundant number, since it is smaller than the sum of its proper divisors (1063564).

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

1038368 is an equidigital number, since it uses as much as digits as its factorization.

1038368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 1038368 is about 1019.0034347342. The cubic root of 1038368 is about 101.2629166065.

The spelling of 1038368 in words is "one million, thirty-eight thousand, three hundred sixty-eight".