536012568 has 432 divisors, whose sum is σ = 1952683200. Its totient is φ = 132088320.

The previous prime is 536012549. The next prime is 536012573. The reversal of 536012568 is 865210635.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 17290713 + ... + 17290743.

It is an arithmetic number, because the mean of its divisors is an integer number (4520100).

Almost surely, 2^536012568 is an apocalyptic number.

536012568 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536012568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976341600).

536012568 is an abundant number, since it is smaller than the sum of its proper divisors (1416670632).

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

536012568 is a wasteful number, since it uses less digits than its factorization.

536012568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 536012568 is about 23151.9452314487. The cubic root of 536012568 is about 812.3159689868.

It can be divided in two parts, 53601 and 2568, that added together give a square (56169 = 237²).

The spelling of 536012568 in words is "five hundred thirty-six million, twelve thousand, five hundred sixty-eight".