536842800 has 180 divisors, whose sum is σ = 2006475744. Its totient is φ = 132134400.

The previous prime is 536842783. The next prime is 536842819. The reversal of 536842800 is 8248635.

536842800 is a `hidden beast` number, since 536 + 8 + 42 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41065 + ... + 52535.

Almost surely, 2^536842800 is an apocalyptic number.

536842800 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 536842800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003237872).

536842800 is an abundant number, since it is smaller than the sum of its proper divisors (1469632944).

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

536842800 is a wasteful number, since it uses less digits than its factorization.

536842800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11508 (or 11494 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 536842800 is about 23169.8683638902. The cubic root of 536842800 is about 812.7351524488.

The spelling of 536842800 in words is "five hundred thirty-six million, eight hundred forty-two thousand, eight hundred".