39960288 has 72 divisors (see below), whose sum is σ = 114987600. Its totient is φ = 13161984.

The previous prime is 39960257. The next prime is 39960299. The reversal of 39960288 is 88206993.

39960288 is a `hidden beast` number, since 39 + 9 + 602 + 8 + 8 = 666.

39960288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24853 + ... + 26411.

It is an arithmetic number, because the mean of its divisors is an integer number (1597050).

Almost surely, 2^39960288 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 39960288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57493800).

39960288 is an abundant number, since it is smaller than the sum of its proper divisors (75027312).

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

39960288 is a wasteful number, since it uses less digits than its factorization.

39960288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 39960288 is about 6321.4150314625. The cubic root of 39960288 is about 341.8819742524.

The spelling of 39960288 in words is "thirty-nine million, nine hundred sixty thousand, two hundred eighty-eight".