39964000 has 96 divisors (see below), whose sum is σ = 100166976. Its totient is φ = 15667200.

The previous prime is 39963997. The next prime is 39964003. The reversal of 39964000 is 46993.

It is an interprime number because it is at equal distance from previous prime (39963997) and next prime (39964003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39964003) by changing a digit.

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, 387949 + ... + 388051.

It is an arithmetic number, because the mean of its divisors is an integer number (1043406).

Almost surely, 2^39964000 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 39964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50083488).

39964000 is an abundant number, since it is smaller than the sum of its proper divisors (60202976).

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

39964000 is a wasteful number, since it uses less digits than its factorization.

39964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 39964000 is about 6321.7086297931. The cubic root of 39964000 is about 341.8925599836.

The spelling of 39964000 in words is "thirty-nine million, nine hundred sixty-four thousand".