536152064 has 96 divisors (see below), whose sum is σ = 1238328000. Its totient is φ = 227328000.

The previous prime is 536152033. The next prime is 536152093. The reversal of 536152064 is 460251635.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 536152064.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2135939 + ... + 2136189.

It is an arithmetic number, because the mean of its divisors is an integer number (12899250).

Almost surely, 2^536152064 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 536152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619164000).

536152064 is an abundant number, since it is smaller than the sum of its proper divisors (702175936).

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

536152064 is a wasteful number, since it uses less digits than its factorization.

536152064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 536152064 is about 23154.9576548954. The cubic root of 536152064 is about 812.3864306430.

The spelling of 536152064 in words is "five hundred thirty-six million, one hundred fifty-two thousand, sixty-four".