1461632 has 32 divisors (see below), whose sum is σ = 3070200. Its totient is φ = 691200.

The previous prime is 1461631. The next prime is 1461637. The reversal of 1461632 is 2361641.

It is a happy number.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1461598 and 1461607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461631) 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, 2132 + ... + 2732.

2^1461632 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 1461632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535100).

1461632 is an abundant number, since it is smaller than the sum of its proper divisors (1608568).

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

1461632 is an equidigital number, since it uses as much as digits as its factorization.

1461632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 622 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 1461632 is about 1208.9797351486. The cubic root of 1461632 is about 113.4869734770.

Subtracting 1461632 from its reverse (2361641), we obtain a palindrome (900009).

The spelling of 1461632 in words is "one million, four hundred sixty-one thousand, six hundred thirty-two".