536608800 has 810 divisors, whose sum is σ = 2464980903. Its totient is φ = 113218560.

The previous prime is 536608783. The next prime is 536608801. The reversal of 536608800 is 8806635.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 33593616 + 503015184 = 5796^2 + 22428^2 .

It is a tau number, because it is divible by the number of its divisors (810).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=16380.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (536608801) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 41277594 + ... + 41277606.

Almost surely, 2^536608800 is an apocalyptic number.

536608800 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 536608800

536608800 is an abundant number, since it is smaller than the sum of its proper divisors (1928372103).

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

536608800 is a wasteful number, since it uses less digits than its factorization.

536608800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 536608800 is about 23164.8181516713. The cubic root of 536608800 is about 812.6170498035.

The spelling of 536608800 in words is "five hundred thirty-six million, six hundred eight thousand, eight hundred".