1059312 has 40 divisors (see below), whose sum is σ = 2834640. Its totient is φ = 340480.

The previous prime is 1059299. The next prime is 1059313. The reversal of 1059312 is 2139501.

It is a super-2 number, since 2×1059312² = 2244283826688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1059313) 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, 1012 + ... + 1772.

It is an arithmetic number, because the mean of its divisors is an integer number (70866).

2^1059312 is an apocalyptic number.

1059312 is a gapful number since it is divisible by the number (12) 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 1059312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417320).

1059312 is an abundant number, since it is smaller than the sum of its proper divisors (1775328).

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

1059312 is a wasteful number, since it uses less digits than its factorization.

1059312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 1059312 is about 1029.2288375284. The cubic root of 1059312 is about 101.9392179200.

The spelling of 1059312 in words is "one million, fifty-nine thousand, three hundred twelve".