39066112 has 40 divisors (see below), whose sum is σ = 80002692. Its totient is φ = 19046400.

The previous prime is 39066101. The next prime is 39066113. The reversal of 39066112 is 21166093.

It can be written as a sum of positive squares in 2 ways, for example, as 24443136 + 14622976 = 4944^2 + 3824^2 .

It is a super-2 number, since 2×39066112² = 3052322213593088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (39066113) 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 3 ways as a sum of consecutive naturals, for example, 20062 + ... + 21922.

Almost surely, 2^39066112 is an apocalyptic number.

39066112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39066112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40001346).

39066112 is an abundant number, since it is smaller than the sum of its proper divisors (40936580).

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

39066112 is an equidigital number, since it uses as much as digits as its factorization.

39066112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 39066112 is about 6250.2889533205. The cubic root of 39066112 is about 339.3126598602.

The spelling of 39066112 in words is "thirty-nine million, sixty-six thousand, one hundred twelve".