39091968 has 162 divisors, whose sum is σ = 121487184. Its totient is φ = 12082176.

The previous prime is 39091951. The next prime is 39091981. The reversal of 39091968 is 86919093.

It is a super-5 number, since 5×39091968⁵ (a number of 39 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 831721 + ... + 831767.

Almost surely, 2^39091968 is an apocalyptic number.

39091968 is a gapful number since it is divisible by the number (38) 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 39091968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60743592).

39091968 is an abundant number, since it is smaller than the sum of its proper divisors (82395216).

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

39091968 is a wasteful number, since it uses less digits than its factorization.

39091968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 39091968 is about 6252.3569955658. The cubic root of 39091968 is about 339.3875016507.

The spelling of 39091968 in words is "thirty-nine million, ninety-one thousand, nine hundred sixty-eight".