1003920 has 80 divisors (see below), whose sum is σ = 3214080. Its totient is φ = 259072.

The previous prime is 1003913. The next prime is 1003931. The reversal of 1003920 is 293001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1003920.

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, 11236 + ... + 11324.

It is an arithmetic number, because the mean of its divisors is an integer number (40176).

2^1003920 is an apocalyptic number.

1003920 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 1003920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607040).

1003920 is an abundant number, since it is smaller than the sum of its proper divisors (2210160).

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

1003920 is a wasteful number, since it uses less digits than its factorization.

1003920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1003920 is about 1001.9580829556. The cubic root of 1003920 is about 100.1304962997.

Adding to 1003920 its reverse (293001), we get a palindrome (1296921).

The spelling of 1003920 in words is "one million, three thousand, nine hundred twenty".