1011920 has 80 divisors (see below), whose sum is σ = 2916480. Its totient is φ = 317952.

The previous prime is 1011917. The next prime is 1011937. The reversal of 1011920 is 291101.

1011920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (14).

It is a junction number, because it is equal to n+sod(n) for n = 1011895 and 1011904.

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, 7211 + ... + 7349.

It is an arithmetic number, because the mean of its divisors is an integer number (36456).

2^1011920 is an apocalyptic number.

1011920 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 1011920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458240).

1011920 is an abundant number, since it is smaller than the sum of its proper divisors (1904560).

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

1011920 is a wasteful number, since it uses less digits than its factorization.

1011920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 1011920 is about 1005.9423442723. The cubic root of 1011920 is about 100.3957649679.

The spelling of 1011920 in words is "one million, eleven thousand, nine hundred twenty".