52604032 has 64 divisors (see below), whose sum is σ = 114339960. Its totient is φ = 23961600.

The previous prime is 52604017. The next prime is 52604033. The reversal of 52604032 is 23040625.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33454656 + 19149376 = 5784^2 + 4376^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 52603994 and 52604012.

It is not an unprimeable number, because it can be changed into a prime (52604033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167908 + ... + 168220.

Almost surely, 2^52604032 is an apocalyptic number.

52604032 is a gapful number since it is divisible by the number (52) 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 52604032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57169980).

52604032 is an abundant number, since it is smaller than the sum of its proper divisors (61735928).

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

52604032 is a wasteful number, since it uses less digits than its factorization.

52604032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 52604032 is about 7252.8637102871. The cubic root of 52604032 is about 374.6907839127.

Adding to 52604032 its reverse (23040625), we get a palindrome (75644657).

The spelling of 52604032 in words is "fifty-two million, six hundred four thousand, thirty-two".