1038840 has 64 divisors (see below), whose sum is σ = 3404160. Its totient is φ = 251520.

The previous prime is 1038833. The next prime is 1038881. The reversal of 1038840 is 488301.

It is a super-3 number, since 3×1038840³ = 3363312686133312000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 1038840.

It is a congruent number.

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, 927 + ... + 1713.

It is an arithmetic number, because the mean of its divisors is an integer number (53190).

2^1038840 is an apocalyptic number.

1038840 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 1038840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702080).

1038840 is an abundant number, since it is smaller than the sum of its proper divisors (2365320).

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

1038840 is a wasteful number, since it uses less digits than its factorization.

1038840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1038840 is about 1019.2350072481. The cubic root of 1038840 is about 101.2782576212.

The spelling of 1038840 in words is "one million, thirty-eight thousand, eight hundred forty".