1035120 has 80 divisors (see below), whose sum is σ = 3392640. Its totient is φ = 260352.

The previous prime is 1035107. The next prime is 1035131. The reversal of 1035120 is 215301.

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 (12).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 1035096 and 1035105.

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, 4447 + ... + 4673.

It is an arithmetic number, because the mean of its divisors is an integer number (42408).

2^1035120 is an apocalyptic number.

1035120 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 1035120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696320).

1035120 is an abundant number, since it is smaller than the sum of its proper divisors (2357520).

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

1035120 is a wasteful number, since it uses less digits than its factorization.

1035120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1035120 is about 1017.4084725419. The cubic root of 1035120 is about 101.1572233507.

The spelling of 1035120 in words is "one million, thirty-five thousand, one hundred twenty".