536903120 has 40 divisors (see below), whose sum is σ = 1344325416. Its totient is φ = 198240768.

The previous prime is 536903119. The next prime is 536903123. The reversal of 536903120 is 21309635.

It can be written as a sum of positive squares in 4 ways, for example, as 115175824 + 421727296 = 10732^2 + 20536^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536903123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257087 + ... + 259166.

Almost surely, 2^536903120 is an apocalyptic number.

It is an amenable number.

536903120 is an abundant number, since it is smaller than the sum of its proper divisors (807422296).

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

536903120 is a wasteful number, since it uses less digits than its factorization.

536903120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516279 (or 516273 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 29.

The square root of 536903120 is about 23171.1700179339. The cubic root of 536903120 is about 812.7655911225.

The spelling of 536903120 in words is "five hundred thirty-six million, nine hundred three thousand, one hundred twenty".