1033920 has 84 divisors (see below), whose sum is σ = 3566160. Its totient is φ = 274944.

The previous prime is 1033867. The next prime is 1033927. The reversal of 1033920 is 293301.

1033920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1033893 and 1033902.

It is not an unprimeable number, because it can be changed into a prime (1033927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2701 + ... + 3059.

2^1033920 is an apocalyptic number.

1033920 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 1033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783080).

1033920 is an abundant number, since it is smaller than the sum of its proper divisors (2532240).

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

1033920 is a wasteful number, since it uses less digits than its factorization.

1033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1033920 is about 1016.8185678871. The cubic root of 1033920 is about 101.1181181886.

It can be divided in two parts, 1033 and 920, that added together give a triangular number (1953 = T₆₂).

The spelling of 1033920 in words is "one million, thirty-three thousand, nine hundred twenty".