1582056 has 96 divisors (see below), whose sum is σ = 5079360. Its totient is φ = 435456.

The previous prime is 1582043. The next prime is 1582069. The reversal of 1582056 is 6502851.

It is an interprime number because it is at equal distance from previous prime (1582043) and next prime (1582069).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21636 + ... + 21708.

It is an arithmetic number, because the mean of its divisors is an integer number (52910).

2^1582056 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 1582056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539680).

1582056 is an abundant number, since it is smaller than the sum of its proper divisors (3497304).

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

1582056 is a wasteful number, since it uses less digits than its factorization.

1582056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1582056 is about 1257.7980760043. The cubic root of 1582056 is about 116.5218266067.

It can be divided in two parts, 15820 and 56, that added together give a square (15876 = 126²).

The spelling of 1582056 in words is "one million, five hundred eighty-two thousand, fifty-six".