39864960 has 160 divisors (see below), whose sum is σ = 142550100. Its totient is φ = 10616832.

The previous prime is 39864959. The next prime is 39864967. The reversal of 39864960 is 6946893.

It can be written as a sum of positive squares in 2 ways, for example, as 39237696 + 627264 = 6264^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (39864967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51456 + ... + 52224.

Almost surely, 2^39864960 is an apocalyptic number.

39864960 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 39864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71275050).

39864960 is an abundant number, since it is smaller than the sum of its proper divisors (102685140).

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

39864960 is an equidigital number, since it uses as much as digits as its factorization.

39864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 39864960 is about 6313.8704452974. The cubic root of 39864960 is about 341.6098968406.

Adding to 39864960 its product of nonzero digits (279936), we get a square (40144896 = 6336²).

The spelling of 39864960 in words is "thirty-nine million, eight hundred sixty-four thousand, nine hundred sixty".