536847168 has 112 divisors (see below), whose sum is σ = 1668816576. Its totient is φ = 150159360.

The previous prime is 536847167. The next prime is 536847169. The reversal of 536847168 is 861748635.

It is an interprime number because it is at equal distance from previous prime (536847167) and next prime (536847169).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536847167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17680 + ... + 37232.

It is an arithmetic number, because the mean of its divisors is an integer number (14900148).

Almost surely, 2^536847168 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 536847168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834408288).

536847168 is an abundant number, since it is smaller than the sum of its proper divisors (1131969408).

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

536847168 is a wasteful number, since it uses less digits than its factorization.

536847168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19592 (or 19582 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 536847168 is about 23169.9626240527. The cubic root of 536847168 is about 812.7373567052.

The spelling of 536847168 in words is "five hundred thirty-six million, eight hundred forty-seven thousand, one hundred sixty-eight".