536620800 has 216 divisors, whose sum is σ = 1865436160. Its totient is φ = 135475200.

The previous prime is 536620789. The next prime is 536620801. The reversal of 536620800 is 8026635.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536620801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364065 + ... + 365535.

Almost surely, 2^536620800 is an apocalyptic number.

536620800 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 536620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932718080).

536620800 is an abundant number, since it is smaller than the sum of its proper divisors (1328815360).

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

536620800 is a wasteful number, since it uses less digits than its factorization.

536620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 536620800 is about 23165.0771636962. The cubic root of 536620800 is about 812.6231071845.

The spelling of 536620800 in words is "five hundred thirty-six million, six hundred twenty thousand, eight hundred".