39006960 has 40 divisors (see below), whose sum is σ = 120922320. Its totient is φ = 10401792.

The previous prime is 39006941. The next prime is 39006967. The reversal of 39006960 is 6960093.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39006967) 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, 81025 + ... + 81504.

It is an arithmetic number, because the mean of its divisors is an integer number (3023058).

Almost surely, 2^39006960 is an apocalyptic number.

39006960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

39006960 is an abundant number, since it is smaller than the sum of its proper divisors (81915360).

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

39006960 is a wasteful number, since it uses less digits than its factorization.

39006960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162545 (or 162539 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 39006960 is about 6245.5552195141. Note that the first 3 decimals coincide. The cubic root of 39006960 is about 339.1413164619.

The spelling of 39006960 in words is "thirty-nine million, six thousand, nine hundred sixty".