536064 has 40 divisors (see below), whose sum is σ = 1432200. Its totient is φ = 178176.

The previous prime is 536059. The next prime is 536069. The reversal of 536064 is 460635.

536064 = T₂₃₅ + T₂₃₆ + ... + T₂₅₂.

It is an interprime number because it is at equal distance from previous prime (536059) and next prime (536069).

It is a super-2 number, since 2×536064² = 574729224192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536069) by changing a digit.

536064 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1362 + ... + 1710.

It is an arithmetic number, because the mean of its divisors is an integer number (35805).

2⁵³⁶⁰⁶⁴ 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 536064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716100).

536064 is an abundant number, since it is smaller than the sum of its proper divisors (896136).

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

536064 is an equidigital number, since it uses as much as digits as its factorization.

536064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 536064 is about 732.1639160734. The cubic root of 536064 is about 81.2341949534.

Adding to 536064 its reverse (460635), we get a palindrome (996699).

The spelling of 536064 in words is "five hundred thirty-six thousand, sixty-four".