39906944 has 64 divisors (see below), whose sum is σ = 99144000. Its totient is φ = 15544320.

The previous prime is 39906941. The next prime is 39906953. The reversal of 39906944 is 44960993.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 39906895 and 39906904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39906941) 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, 7832 + ... + 11880.

It is an arithmetic number, because the mean of its divisors is an integer number (1549125).

Almost surely, 2^39906944 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 39906944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49572000).

39906944 is an abundant number, since it is smaller than the sum of its proper divisors (59237056).

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

39906944 is a wasteful number, since it uses less digits than its factorization.

39906944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081 (or 4069 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 44.

The square root of 39906944 is about 6317.1943139340. The cubic root of 39906944 is about 341.7297775413.

The spelling of 39906944 in words is "thirty-nine million, nine hundred six thousand, nine hundred forty-four".