1027296 has 96 divisors (see below), whose sum is σ = 3175200. Its totient is φ = 322560.

The previous prime is 1027289. The next prime is 1027319. The reversal of 1027296 is 6927201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25036 + ... + 25076.

It is an arithmetic number, because the mean of its divisors is an integer number (33075).

2^1027296 is an apocalyptic number.

1027296 is a gapful number since it is divisible by the number (16) 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 1027296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587600).

1027296 is an abundant number, since it is smaller than the sum of its proper divisors (2147904).

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

1027296 is a wasteful number, since it uses less digits than its factorization.

1027296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1027296 is about 1013.5561158614. The cubic root of 1027296 is about 100.9017113934.

The spelling of 1027296 in words is "one million, twenty-seven thousand, two hundred ninety-six".