39080160 has 144 divisors (see below), whose sum is σ = 152451936. Its totient is φ = 8930304.

The previous prime is 39080149. The next prime is 39080201. The reversal of 39080160 is 6108093.

It is a tau number, because it is divible by the number of its divisors (144).

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, 8142 + ... + 12018.

It is an arithmetic number, because the mean of its divisors is an integer number (1058694).

Almost surely, 2^39080160 is an apocalyptic number.

39080160 is a gapful number since it is divisible by the number (30) 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 39080160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76225968).

39080160 is an abundant number, since it is smaller than the sum of its proper divisors (113371776).

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

39080160 is a wasteful number, since it uses less digits than its factorization.

39080160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3905 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 39080160 is about 6251.4126403558. The cubic root of 39080160 is about 339.3533267602.

The spelling of 39080160 in words is "thirty-nine million, eighty thousand, one hundred sixty".