53582800 has 60 divisors (see below), whose sum is σ = 130153996. Its totient is φ = 21196800.

The previous prime is 53582791. The next prime is 53582813. The reversal of 53582800 is 828535.

53582800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1915456 + 51667344 = 1384^2 + 7188^2 .

It is a super-2 number, since 2×53582800² = 5742232911680000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 38110 + ... + 39490.

Almost surely, 2^53582800 is an apocalyptic number.

53582800 is a gapful number since it is divisible by the number (50) 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 53582800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65076998).

53582800 is an abundant number, since it is smaller than the sum of its proper divisors (76571196).

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

53582800 is a wasteful number, since it uses less digits than its factorization.

53582800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 53582800 is about 7320.0273223534. The cubic root of 53582800 is about 377.0003916626. Note that the first 3 decimals are identical.

The spelling of 53582800 in words is "fifty-three million, five hundred eighty-two thousand, eight hundred".