39540096 has 128 divisors (see below), whose sum is σ = 123746400. Its totient is φ = 12386304.

The previous prime is 39540073. The next prime is 39540101. The reversal of 39540096 is 69004593.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 39540096.

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 15 ways as a sum of consecutive naturals, for example, 58416 + ... + 59088.

Almost surely, 2^39540096 is an apocalyptic number.

39540096 is a gapful number since it is divisible by the number (36) 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 39540096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61873200).

39540096 is an abundant number, since it is smaller than the sum of its proper divisors (84206304).

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

39540096 is a wasteful number, since it uses less digits than its factorization.

39540096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 39540096 is about 6288.0916023862. The cubic root of 39540096 is about 340.6794257056.

The spelling of 39540096 in words is "thirty-nine million, five hundred forty thousand, ninety-six".