1461328 has 60 divisors (see below), whose sum is σ = 3401568. Its totient is φ = 601920.

The previous prime is 1461311. The next prime is 1461329. The reversal of 1461328 is 8231641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461329) 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, 63525 + ... + 63547.

2^1461328 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 1461328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700784).

1461328 is an abundant number, since it is smaller than the sum of its proper divisors (1940240).

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

1461328 is a wasteful number, since it uses less digits than its factorization.

1461328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 55 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 1461328 is about 1208.8540027646. The cubic root of 1461328 is about 113.4791050049.

Adding to 1461328 its reverse (8231641), we get a palindrome (9692969).

It can be divided in two parts, 14613 and 28, that added together give a palindrome (14641).

The spelling of 1461328 in words is "one million, four hundred sixty-one thousand, three hundred twenty-eight".