1045120 has 64 divisors (see below), whose sum is σ = 2643840. Its totient is φ = 394240.

The previous prime is 1045117. The next prime is 1045123. The reversal of 1045120 is 215401.

1045120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1045117) and next prime (1045123).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1045120.

It is not an unprimeable number, because it can be changed into a prime (1045123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14685 + ... + 14755.

It is an arithmetic number, because the mean of its divisors is an integer number (41310).

2^1045120 is an apocalyptic number.

1045120 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 1045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321920).

1045120 is an abundant number, since it is smaller than the sum of its proper divisors (1598720).

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

1045120 is an equidigital number, since it uses as much as digits as its factorization.

1045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 1045120 is about 1022.3111072467. The cubic root of 1045120 is about 101.4819303415.

The spelling of 1045120 in words is "one million, forty-five thousand, one hundred twenty".