1585248 has 72 divisors (see below), whose sum is σ = 4855032. Its totient is φ = 451584.

The previous prime is 1585219. The next prime is 1585249. The reversal of 1585248 is 8425851.

It is a super-2 number, since 2×1585248² = 5026022443008, which contains 22 as substring.

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1585249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4536 + ... + 4872.

It is an arithmetic number, because the mean of its divisors is an integer number (67431).

2^1585248 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 1585248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427516).

1585248 is an abundant number, since it is smaller than the sum of its proper divisors (3269784).

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

1585248 is a wasteful number, since it uses less digits than its factorization.

1585248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 349 counting only the distinct ones).

The product of its digits is 12800, while the sum is 33.

The square root of 1585248 is about 1259.0663207314. The cubic root of 1585248 is about 116.6001398494.

The spelling of 1585248 in words is "one million, five hundred eighty-five thousand, two hundred forty-eight".