39066144 has 96 divisors (see below), whose sum is σ = 115323264. Its totient is φ = 11489280.

The previous prime is 39066127. The next prime is 39066163. The reversal of 39066144 is 44166093.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28024 + ... + 29384.

It is an arithmetic number, because the mean of its divisors is an integer number (1201284).

Almost surely, 2^39066144 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 39066144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57661632).

39066144 is an abundant number, since it is smaller than the sum of its proper divisors (76257120).

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

39066144 is a wasteful number, since it uses less digits than its factorization.

39066144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 39066144 is about 6250.2915132016. The cubic root of 39066144 is about 339.3127525066.

The spelling of 39066144 in words is "thirty-nine million, sixty-six thousand, one hundred forty-four".