536903680 has 128 divisors (see below), whose sum is σ = 1344778200. Its totient is φ = 205520896.

The previous prime is 536903573. The next prime is 536903681. The reversal of 536903680 is 86309635.

It can be written as a sum of positive squares in 4 ways, for example, as 272646144 + 264257536 = 16512^2 + 16256^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536903681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4751304 + ... + 4751416.

Almost surely, 2^536903680 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 536903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672389100).

536903680 is an abundant number, since it is smaller than the sum of its proper divisors (807874520).

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

536903680 is an equidigital number, since it uses as much as digits as its factorization.

536903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 536903680 is about 23171.1821019127. The cubic root of 536903680 is about 812.7658736989.

The spelling of 536903680 in words is "five hundred thirty-six million, nine hundred three thousand, six hundred eighty".