536580800 has 168 divisors, whose sum is σ = 1575303936. Its totient is φ = 175887360.

The previous prime is 536580799. The next prime is 536580859. The reversal of 536580800 is 8085635.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256559 + ... + 258641.

Almost surely, 2^536580800 is an apocalyptic number.

536580800 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 536580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787651968).

536580800 is an abundant number, since it is smaller than the sum of its proper divisors (1038723136).

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

536580800 is a wasteful number, since it uses less digits than its factorization.

536580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 536580800 is about 23164.2137790170. The cubic root of 536580800 is about 812.6029155632.

The spelling of 536580800 in words is "five hundred thirty-six million, five hundred eighty thousand, eight hundred".