1585152 has 78 divisors (see below), whose sum is σ = 4685252. Its totient is φ = 516096.

The previous prime is 1585147. The next prime is 1585201. The reversal of 1585152 is 2515851.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36843 + ... + 36885.

2^1585152 is an apocalyptic number.

1585152 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 1585152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342626).

1585152 is an abundant number, since it is smaller than the sum of its proper divisors (3100100).

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

1585152 is an equidigital number, since it uses as much as digits as its factorization.

1585152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 48 counting only the distinct ones).

The product of its digits is 2000, while the sum is 27.

The square root of 1585152 is about 1259.0281966660. The cubic root of 1585152 is about 116.5977860979.

The spelling of 1585152 in words is "one million, five hundred eighty-five thousand, one hundred fifty-two".