1038096 has 70 divisors (see below), whose sum is σ = 3049470. Its totient is φ = 342144.

The previous prime is 1038077. The next prime is 1038119. The reversal of 1038096 is 6908301.

It can be written as a sum of positive squares in only one way, i.e., 746496 + 291600 = 864^2 + 540^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11620 + ... + 11708.

2^1038096 is an apocalyptic number.

1038096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1038096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524735).

1038096 is an abundant number, since it is smaller than the sum of its proper divisors (2011374).

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

1038096 is an frugal number, since it uses more digits than its factorization.

1038096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1038096 is about 1018.8699622621. The cubic root of 1038096 is about 101.2540739102.

The spelling of 1038096 in words is "one million, thirty-eight thousand, ninety-six".