39968000 has 72 divisors (see below), whose sum is σ = 99645000. Its totient is φ = 15974400.

The previous prime is 39967999. The next prime is 39968009. The reversal of 39968000 is 86993.

It can be written as a sum of positive squares in 4 ways, for example, as 2611456 + 37356544 = 1616^2 + 6112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39968009) 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, 31376 + ... + 32624.

Almost surely, 2^39968000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49822500).

39968000 is an abundant number, since it is smaller than the sum of its proper divisors (59677000).

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

39968000 is an equidigital number, since it uses as much as digits as its factorization.

39968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 39968000 is about 6322.0249920417. The cubic root of 39968000 is about 341.9039662877.

The spelling of 39968000 in words is "thirty-nine million, nine hundred sixty-eight thousand".