1027120 has 40 divisors (see below), whose sum is σ = 2459664. Its totient is φ = 398592.

The previous prime is 1027097. The next prime is 1027127. The reversal of 1027120 is 217201.

1027120 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 (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1027120.

It is not an unprimeable number, because it can be changed into a prime (1027127) 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, 2787 + ... + 3133.

2^1027120 is an apocalyptic number.

1027120 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 1027120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229832).

1027120 is an abundant number, since it is smaller than the sum of its proper divisors (1432544).

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

1027120 is a wasteful number, since it uses less digits than its factorization.

1027120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 1027120 is about 1013.4692891252. The cubic root of 1027120 is about 100.8959487844.

The spelling of 1027120 in words is "one million, twenty-seven thousand, one hundred twenty".