39959040 has 240 divisors, whose sum is σ = 143678304. Its totient is φ = 9461760.

The previous prime is 39959011. The next prime is 39959041. The reversal of 39959040 is 4095993.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a self number, because there is not a number n which added to its sum of digits gives 39959040.

It is not an unprimeable number, because it can be changed into a prime (39959041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 929259 + ... + 929301.

Almost surely, 2^39959040 is an apocalyptic number.

39959040 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 39959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71839152).

39959040 is an abundant number, since it is smaller than the sum of its proper divisors (103719264).

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

39959040 is a wasteful number, since it uses less digits than its factorization.

39959040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 39959040 is about 6321.3163186159. The cubic root of 39959040 is about 341.8784151094.

The spelling of 39959040 in words is "thirty-nine million, nine hundred fifty-nine thousand, forty".