536800000 has 216 divisors, whose sum is σ = 1484998704. Its totient is φ = 192000000.

The previous prime is 536799997. The next prime is 536800001. The reversal of 536800000 is 8635.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536800001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8799970 + ... + 8800030.

It is an arithmetic number, because the mean of its divisors is an integer number (6874994).

Almost surely, 2^536800000 is an apocalyptic number.

536800000 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 536800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742499352).

536800000 is an abundant number, since it is smaller than the sum of its proper divisors (948198704).

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

536800000 is an frugal number, since it uses more digits than its factorization.

536800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 536800000 is about 23168.9447321193. The cubic root of 536800000 is about 812.7135533333.

Adding to 536800000 its reverse (8635), we get a palindrome (536808635).

The spelling of 536800000 in words is "five hundred thirty-six million, eight hundred thousand".