39966048 has 120 divisors (see below), whose sum is σ = 124590312. Its totient is φ = 12524544.

The previous prime is 39966029. The next prime is 39966053. The reversal of 39966048 is 84066993.

39966048 is a `hidden beast` number, since 39 + 9 + 6 + 604 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 39965994 and 39966012.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 43611 + ... + 44517.

Almost surely, 2^39966048 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 39966048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62295156).

39966048 is an abundant number, since it is smaller than the sum of its proper divisors (84624264).

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

39966048 is a wasteful number, since it uses less digits than its factorization.

39966048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 929 counting only the distinct ones).

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

The square root of 39966048 is about 6321.8706092422. The cubic root of 39966048 is about 341.8984001064.

The spelling of 39966048 in words is "thirty-nine million, nine hundred sixty-six thousand, forty-eight".