39960360 has 96 divisors (see below), whose sum is σ = 141691680. Its totient is φ = 9686400.

The previous prime is 39960359. The next prime is 39960367. The reversal of 39960360 is 6306993.

39960360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (39960367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1086 + ... + 9005.

It is an arithmetic number, because the mean of its divisors is an integer number (1475955).

Almost surely, 2^39960360 is an apocalyptic number.

39960360 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 39960360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70845840).

39960360 is an abundant number, since it is smaller than the sum of its proper divisors (101731320).

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

39960360 is a wasteful number, since it uses less digits than its factorization.

39960360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10119 (or 10112 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 39960360 is about 6321.4207263874. The cubic root of 39960360 is about 341.8821795853.

The spelling of 39960360 in words is "thirty-nine million, nine hundred sixty thousand, three hundred sixty".