1038920 has 32 divisors (see below), whose sum is σ = 2462400. Its totient is φ = 393408.

The previous prime is 1038913. The next prime is 1038937. The reversal of 1038920 is 298301.

1038920 = 106² + 107² + ... + 162².

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 7 ways as a sum of consecutive naturals, for example, 77 + ... + 1443.

It is an arithmetic number, because the mean of its divisors is an integer number (76950).

2^1038920 is an apocalyptic number.

1038920 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 1038920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231200).

1038920 is an abundant number, since it is smaller than the sum of its proper divisors (1423480).

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

1038920 is a wasteful number, since it uses less digits than its factorization.

1038920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 1038920 is about 1019.2742516124. The cubic root of 1038920 is about 101.2808573326.

The spelling of 1038920 in words is "one million, thirty-eight thousand, nine hundred twenty".