1532816040 has 192 divisors, whose sum is σ = 5424010560. Its totient is φ = 345461760.

The previous prime is 1532816039. The next prime is 1532816063. The reversal of 1532816040 is 406182351.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1532815989 and 1532816007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427455 + ... + 431025.

It is an arithmetic number, because the mean of its divisors is an integer number (28250055).

Almost surely, 2^1532816040 is an apocalyptic number.

1532816040 is a gapful number since it is divisible by the number (10) 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 1532816040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712005280).

1532816040 is an abundant number, since it is smaller than the sum of its proper divisors (3891194520).

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

1532816040 is a wasteful number, since it uses less digits than its factorization.

1532816040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1532816040 is about 39151.1946177891. The cubic root of 1532816040 is about 1153.0018712545.

Adding to 1532816040 its reverse (406182351), we get a palindrome (1938998391).

The spelling of 1532816040 in words is "one billion, five hundred thirty-two million, eight hundred sixteen thousand, forty".