39952608 has 48 divisors (see below), whose sum is σ = 106330896. Its totient is φ = 13132800.

The previous prime is 39952607. The next prime is 39952643. The reversal of 39952608 is 80625993.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 39952608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39952607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4158 + ... + 9858.

It is an arithmetic number, because the mean of its divisors is an integer number (2215227).

Almost surely, 2^39952608 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 39952608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53165448).

39952608 is an abundant number, since it is smaller than the sum of its proper divisors (66378288).

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

39952608 is a wasteful number, since it uses less digits than its factorization.

39952608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5787 (or 5779 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 39952608 is about 6320.8075433444. The cubic root of 39952608 is about 341.8600706583.

The spelling of 39952608 in words is "thirty-nine million, nine hundred fifty-two thousand, six hundred eight".