536978112 has 112 divisors (see below), whose sum is σ = 1572182784. Its totient is φ = 160384000.

The previous prime is 536978111. The next prime is 536978137. The reversal of 536978112 is 211879635.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (536978111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148162 + ... + 151742.

Almost surely, 2^536978112 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 536978112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786091392).

536978112 is an abundant number, since it is smaller than the sum of its proper divisors (1035204672).

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

536978112 is a wasteful number, since it uses less digits than its factorization.

536978112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678 (or 3668 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 536978112 is about 23172.7881792416. The cubic root of 536978112 is about 812.8034304007.

The spelling of 536978112 in words is "five hundred thirty-six million, nine hundred seventy-eight thousand, one hundred twelve".