535788 has 72 divisors (see below), whose sum is σ = 1564080. Its totient is φ = 158400.

The previous prime is 535783. The next prime is 535793. The reversal of 535788 is 887535.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (535783) and next prime (535793).

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

It is a zygodrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 535788.

It is not an unprimeable number, because it can be changed into a prime (535783) 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, 13048 + ... + 13088.

2⁵³⁵⁷⁸⁸ 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 535788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782040).

535788 is an abundant number, since it is smaller than the sum of its proper divisors (1028292).

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

535788 is a wasteful number, since it uses less digits than its factorization.

535788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 57 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 535788 is about 731.9754094230. The cubic root of 535788 is about 81.2202510420.

Adding to 535788 its sum of digits (36), we get a square (535824 = 732²).

It can be divided in two parts, 5357 and 88, that added together give a palindrome (5445).

The spelling of 535788 in words is "five hundred thirty-five thousand, seven hundred eighty-eight".