536645200 has 240 divisors, whose sum is σ = 1658393856. Its totient is φ = 162201600.

The previous prime is 536645191. The next prime is 536645209. The reversal of 536645200 is 2546635.

It is an interprime number because it is at equal distance from previous prime (536645191) and next prime (536645209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536645209) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 836880 + ... + 837520.

Almost surely, 2^536645200 is an apocalyptic number.

536645200 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 536645200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829196928).

536645200 is an abundant number, since it is smaller than the sum of its proper divisors (1121748656).

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

536645200 is a wasteful number, since it uses less digits than its factorization.

536645200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 536645200 is about 23165.6038125493. The cubic root of 536645200 is about 812.6354235808.

The spelling of 536645200 in words is "five hundred thirty-six million, six hundred forty-five thousand, two hundred".