53020800 has 288 divisors, whose sum is σ = 217039680. Its totient is φ = 12072960.

The previous prime is 53020783. The next prime is 53020801. The reversal of 53020800 is 802035.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×53020800² = 5622410465280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (53020801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201469 + ... + 201731.

It is an arithmetic number, because the mean of its divisors is an integer number (753610).

Almost surely, 2^53020800 is an apocalyptic number.

53020800 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 53020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108519840).

53020800 is an abundant number, since it is smaller than the sum of its proper divisors (164018880).

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

53020800 is a wasteful number, since it uses less digits than its factorization.

53020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 53020800 is about 7281.5382990135. The cubic root of 53020800 is about 375.6777078278.

Adding to 53020800 its reverse (802035), we get a palindrome (53822835).

The spelling of 53020800 in words is "fifty-three million, twenty thousand, eight hundred".