536010120 has 96 divisors (see below), whose sum is σ = 1789159320. Its totient is φ = 139069440.

The previous prime is 536010077. The next prime is 536010127. The reversal of 536010120 is 21010635.

536010120 is a `hidden beast` number, since 53 + 601 + 0 + 12 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 416894724 + 119115396 = 20418^2 + 10914^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 536010093 and 536010102.

It is not an unprimeable number, because it can be changed into a prime (536010127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6801 + ... + 33440.

Almost surely, 2^536010120 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 536010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894579660).

536010120 is an abundant number, since it is smaller than the sum of its proper divisors (1253149200).

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

536010120 is a wasteful number, since it uses less digits than its factorization.

536010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40295 (or 40288 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 536010120 is about 23151.8923632605. The cubic root of 536010120 is about 812.3147323538.

Adding to 536010120 its reverse (21010635), we get a palindrome (557020755).

It can be divided in two parts, 536010 and 120, that added together give a triangular number (536130 = T₁₀₃₅).

The spelling of 536010120 in words is "five hundred thirty-six million, ten thousand, one hundred twenty".