1085952 has 80 divisors (see below), whose sum is σ = 3339072. Its totient is φ = 307200.

The previous prime is 1085933. The next prime is 1085957. The reversal of 1085952 is 2595801.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085957) 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, 10702 + ... + 10802.

2^1085952 is an apocalyptic number.

1085952 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 1085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669536).

1085952 is an abundant number, since it is smaller than the sum of its proper divisors (2253120).

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

1085952 is an equidigital number, since it uses as much as digits as its factorization.

1085952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 1085952 is about 1042.0902072278. The cubic root of 1085952 is about 102.7866889657.

The spelling of 1085952 in words is "one million, eighty-five thousand, nine hundred fifty-two".