536968800 has 432 divisors, whose sum is σ = 2072961072. Its totient is φ = 130252800.

The previous prime is 536968793. The next prime is 536968847. The reversal of 536968800 is 8869635.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5018347 + ... + 5018453.

It is an arithmetic number, because the mean of its divisors is an integer number (4798521).

Almost surely, 2^536968800 is an apocalyptic number.

536968800 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 536968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036480536).

536968800 is an abundant number, since it is smaller than the sum of its proper divisors (1535992272).

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

536968800 is a wasteful number, since it uses less digits than its factorization.

536968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 536968800 is about 23172.5872530454. The cubic root of 536968800 is about 812.7987319663.

The spelling of 536968800 in words is "five hundred thirty-six million, nine hundred sixty-eight thousand, eight hundred".