1321632 has 72 divisors (see below), whose sum is σ = 4058964. Its totient is φ = 405504.

The previous prime is 1321627. The next prime is 1321633. The reversal of 1321632 is 2361231.

1321632 is a `hidden beast` number, since 1 + 32 + 1 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1245456 + 76176 = 1116^2 + 276^2 .

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

It is a super-2 number, since 2×1321632² = 3493422286848, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (1321633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3568 + ... + 3920.

2^1321632 is an apocalyptic number.

1321632 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 1321632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029482).

1321632 is an abundant number, since it is smaller than the sum of its proper divisors (2737332).

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

1321632 is a wasteful number, since it uses less digits than its factorization.

1321632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 371 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 1321632 is about 1149.6225467518. The cubic root of 1321632 is about 109.7413205327.

Adding to 1321632 its reverse (2361231), we get a palindrome (3682863).

It can be divided in two parts, 1321 and 632, that added together give a triangular number (1953 = T₆₂).

The spelling of 1321632 in words is "one million, three hundred twenty-one thousand, six hundred thirty-two".