1532416 has 40 divisors (see below), whose sum is σ = 3179484. Its totient is φ = 737280.

The previous prime is 1532413. The next prime is 1532449. The reversal of 1532416 is 6142351.

It can be written as a sum of positive squares in 2 ways, for example, as 1440000 + 92416 = 1200^2 + 304^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1532413) 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 3 ways as a sum of consecutive naturals, for example, 20956 + ... + 21028.

2^1532416 is an apocalyptic number.

1532416 is a gapful number since it is divisible by the number (16) 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 1532416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589742).

1532416 is an abundant number, since it is smaller than the sum of its proper divisors (1647068).

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

1532416 is an frugal number, since it uses more digits than its factorization.

1532416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 116 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 1532416 is about 1237.9079125686. The cubic root of 1532416 is about 115.2901557630.

Adding to 1532416 its reverse (6142351), we get a palindrome (7674767).

The spelling of 1532416 in words is "one million, five hundred thirty-two thousand, four hundred sixteen".