1105632 has 72 divisors (see below), whose sum is σ = 3439800. Its totient is φ = 334080.

The previous prime is 1105627. The next prime is 1105639. The reversal of 1105632 is 2365011.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105639) 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, 2994 + ... + 3342.

It is an arithmetic number, because the mean of its divisors is an integer number (47775).

2^1105632 is an apocalyptic number.

1105632 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 1105632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719900).

1105632 is an abundant number, since it is smaller than the sum of its proper divisors (2334168).

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

1105632 is a wasteful number, since it uses less digits than its factorization.

1105632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1105632 is about 1051.4903708546. The cubic root of 1105632 is about 103.4038875310.

The spelling of 1105632 in words is "one million, one hundred five thousand, six hundred thirty-two".