1032520416 has 48 divisors (see below), whose sum is σ = 2828214144. Its totient is φ = 329208704.

The previous prime is 1032520387. The next prime is 1032520421. The reversal of 1032520416 is 6140252301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231606 + ... + 236021.

It is an arithmetic number, because the mean of its divisors is an integer number (58921128).

Almost surely, 2^1032520416 is an apocalyptic number.

1032520416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1032520416 is an abundant number, since it is smaller than the sum of its proper divisors (1795693728).

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

1032520416 is a wasteful number, since it uses less digits than its factorization.

1032520416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467663 (or 467655 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1032520416 is about 32132.8557087602. The cubic root of 1032520416 is about 1010.7247081194.

Adding to 1032520416 its reverse (6140252301), we get a palindrome (7172772717).

The spelling of 1032520416 in words is "one billion, thirty-two million, five hundred twenty thousand, four hundred sixteen".