1027312 has 40 divisors (see below), whose sum is σ = 2343600. Its totient is φ = 430080.

The previous prime is 1027289. The next prime is 1027319. The reversal of 1027312 is 2137201.

It is a happy number.

1027312 is nontrivially palindromic in base 12.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027319) 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, 2064 + ... + 2512.

It is an arithmetic number, because the mean of its divisors is an integer number (58590).

2^1027312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171800).

1027312 is an abundant number, since it is smaller than the sum of its proper divisors (1316288).

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

1027312 is a wasteful number, since it uses less digits than its factorization.

1027312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 1027312 is about 1013.5640088322. The cubic root of 1027312 is about 100.9022352343.

The spelling of 1027312 in words is "one million, twenty-seven thousand, three hundred twelve".