1985152 has 32 divisors (see below), whose sum is σ = 4262580. Its totient is φ = 915456.

The previous prime is 1985077. The next prime is 1985167. The reversal of 1985152 is 2515891.

It can be written as a sum of positive squares in 2 ways, for example, as 1915456 + 69696 = 1384^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1068 + ... + 2260.

2^1985152 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 1985152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131290).

1985152 is an abundant number, since it is smaller than the sum of its proper divisors (2277428).

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

1985152 is a wasteful number, since it uses less digits than its factorization.

1985152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1208 counting only the distinct ones).

The product of its digits is 3600, while the sum is 31.

The square root of 1985152 is about 1408.9542221094. The cubic root of 1985152 is about 125.6795417563.

The spelling of 1985152 in words is "one million, nine hundred eighty-five thousand, one hundred fifty-two".