32520400 has 120 divisors (see below), whose sum is σ = 89949600. Its totient is φ = 11174400.

The previous prime is 32520377. The next prime is 32520401. The reversal of 32520400 is 402523.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32520401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83406 + ... + 83794.

It is an arithmetic number, because the mean of its divisors is an integer number (749580).

Almost surely, 2^32520400 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 32520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44974800).

32520400 is an abundant number, since it is smaller than the sum of its proper divisors (57429200).

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

32520400 is a wasteful number, since it uses less digits than its factorization.

32520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 32520400 is about 5702.6660431766. Note that the first 3 decimals coincide. The cubic root of 32520400 is about 319.1919717916.

Adding to 32520400 its reverse (402523), we get a palindrome (32922923).

The spelling of 32520400 in words is "thirty-two million, five hundred twenty thousand, four hundred".