536384 has 42 divisors (see below), whose sum is σ = 1169670. Its totient is φ = 243712.

The previous prime is 536377. The next prime is 536399. The reversal of 536384 is 483635.

It can be written as a sum of positive squares in 3 ways, for example, as 222784 + 313600 = 472^2 + 560^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

Its product of digits (8640) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is an unprimeable number.

536384 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18482 + ... + 18510.

2⁵³⁶³⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584835).

536384 is an abundant number, since it is smaller than the sum of its proper divisors (633286).

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

536384 is a wasteful number, since it uses less digits than its factorization.

536384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 48 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 536384 is about 732.3824137703. The cubic root of 536384 is about 81.2503558170.

Multiplying 536384 by its sum of digits (29), we get a square (15555136 = 3944²).

536384 divided by its sum of digits (29) gives a square (18496 = 136²).

The spelling of 536384 in words is "five hundred thirty-six thousand, three hundred eighty-four".