1038080 has 36 divisors (see below), whose sum is σ = 2489592. Its totient is φ = 414720.

The previous prime is 1038077. The next prime is 1038119. The reversal of 1038080 is 808301.

1038080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1038080² = 2155220172800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 16.

It is a congruent number.

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, 875 + ... + 1685.

2^1038080 is an apocalyptic number.

1038080 is a gapful number since it is divisible by the number (10) 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 1038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244796).

1038080 is an abundant number, since it is smaller than the sum of its proper divisors (1451512).

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

1038080 is an frugal number, since it uses more digits than its factorization.

1038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1038080 is about 1018.8621103957. The cubic root of 1038080 is about 101.2535537034.

The spelling of 1038080 in words is "one million, thirty-eight thousand, eighty".