536812584 has 128 divisors (see below), whose sum is σ = 1694822400. Its totient is φ = 137629440.

The previous prime is 536812583. The next prime is 536812597. The reversal of 536812584 is 485218635.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (536812583) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144154 + ... + 147830.

It is an arithmetic number, because the mean of its divisors is an integer number (13240800).

Almost surely, 2^536812584 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 536812584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847411200).

536812584 is an abundant number, since it is smaller than the sum of its proper divisors (1158009816).

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

536812584 is a wasteful number, since it uses less digits than its factorization.

536812584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3783 (or 3779 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 536812584 is about 23169.2163009455. The cubic root of 536812584 is about 812.7199039961.

It can be divided in two parts, 53681 and 2584, that added together give a palindrome (56265).

The spelling of 536812584 in words is "five hundred thirty-six million, eight hundred twelve thousand, five hundred eighty-four".