536351040 has 336 divisors, whose sum is σ = 1945696896. Its totient is φ = 135475200.

The previous prime is 536351029. The next prime is 536351041. The reversal of 536351040 is 40153635.

536351040 is a `hidden beast` number, since 53 + 63 + 510 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 536350995 and 536351013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536351041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7554205 + ... + 7554275.

Almost surely, 2^536351040 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 536351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972848448).

536351040 is an abundant number, since it is smaller than the sum of its proper divisors (1409345856).

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

536351040 is a wasteful number, since it uses less digits than its factorization.

536351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 536351040 is about 23159.2538739917. The cubic root of 536351040 is about 812.4869154500.

The spelling of 536351040 in words is "five hundred thirty-six million, three hundred fifty-one thousand, forty".