1005632 has 28 divisors (see below), whose sum is σ = 2103120. Its totient is φ = 475776.

The previous prime is 1005619. The next prime is 1005637. The reversal of 1005632 is 2365001.

It is a super-2 number, since 2×1005632² = 2022591438848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1005632.

It is not an unprimeable number, because it can be changed into a prime (1005637) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 803 + ... + 1629.

2^1005632 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 1005632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051560).

1005632 is an abundant number, since it is smaller than the sum of its proper divisors (1097488).

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

1005632 is an equidigital number, since it uses as much as digits as its factorization.

1005632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 1005632 is about 1002.8120461981. The cubic root of 1005632 is about 100.1873819939.

The spelling of 1005632 in words is "one million, five thousand, six hundred thirty-two".