536295168 has 216 divisors, whose sum is σ = 1653947568. Its totient is φ = 173187072.

The previous prime is 536295167. The next prime is 536295169. The reversal of 536295168 is 861592635.

536295168 is a `hidden beast` number, since 5 + 3 + 629 + 5 + 16 + 8 = 666.

536295168 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (536295167) and next prime (536295169).

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×536295168² = 575225014440296448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536295167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2301580 + ... + 2301812.

Almost surely, 2^536295168 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 536295168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826973784).

536295168 is an abundant number, since it is smaller than the sum of its proper divisors (1117652400).

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

536295168 is an equidigital number, since it uses as much as digits as its factorization.

536295168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 275 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 536295168 is about 23158.0475860984. The cubic root of 536295168 is about 812.4587020587.

The spelling of 536295168 in words is "five hundred thirty-six million, two hundred ninety-five thousand, one hundred sixty-eight".