536264320 has 128 divisors (see below), whose sum is σ = 1417098240. Its totient is φ = 193019904.

The previous prime is 536264293. The next prime is 536264353. The reversal of 536264320 is 23462635.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249169 + ... + 251311.

It is an arithmetic number, because the mean of its divisors is an integer number (11071080).

Almost surely, 2^536264320 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 536264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708549120).

536264320 is an abundant number, since it is smaller than the sum of its proper divisors (880833920).

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

536264320 is a wasteful number, since it uses less digits than its factorization.

536264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 536264320 is about 23157.3815445529. The cubic root of 536264320 is about 812.4431240660.

The spelling of 536264320 in words is "five hundred thirty-six million, two hundred sixty-four thousand, three hundred twenty".