536583312 has 80 divisors (see below), whose sum is σ = 1545040000. Its totient is φ = 178298496.

The previous prime is 536583293. The next prime is 536583319. The reversal of 536583312 is 213385635.

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

It is not an unprimeable number, because it can be changed into a prime (536583319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148989 + ... + 152547.

It is an arithmetic number, because the mean of its divisors is an integer number (19313000).

Almost surely, 2^536583312 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 536583312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772520000).

536583312 is an abundant number, since it is smaller than the sum of its proper divisors (1008456688).

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

536583312 is a wasteful number, since it uses less digits than its factorization.

536583312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3925 (or 3913 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 536583312 is about 23164.2680005218. The cubic root of 536583312 is about 812.6041836266.

The spelling of 536583312 in words is "five hundred thirty-six million, five hundred eighty-three thousand, three hundred twelve".