39066768 has 120 divisors (see below), whose sum is σ = 120851640. Its totient is φ = 11704320.

The previous prime is 39066749. The next prime is 39066773. The reversal of 39066768 is 86766093.

It can be written as a sum of positive squares in 4 ways, for example, as 278784 + 38787984 = 528^2 + 6228^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76498 + ... + 77006.

It is an arithmetic number, because the mean of its divisors is an integer number (1007097).

Almost surely, 2^39066768 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 39066768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60425820).

39066768 is an abundant number, since it is smaller than the sum of its proper divisors (81784872).

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

39066768 is a wasteful number, since it uses less digits than its factorization.

39066768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 39066768 is about 6250.3414306740. The cubic root of 39066768 is about 339.3145591010.

The spelling of 39066768 in words is "thirty-nine million, sixty-six thousand, seven hundred sixty-eight".