39867648 has 144 divisors (see below), whose sum is σ = 115575936. Its totient is φ = 12165120.

The previous prime is 39867647. The next prime is 39867661. The reversal of 39867648 is 84676893.

Its product of digits (1741824) is a multiple of the sum of its prime divisors (126).

It is a self number, because there is not a number n which added to its sum of digits gives 39867648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39867647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 653538 + ... + 653598.

Almost surely, 2^39867648 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 39867648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57787968).

39867648 is an abundant number, since it is smaller than the sum of its proper divisors (75708288).

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

39867648 is a wasteful number, since it uses less digits than its factorization.

39867648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 39867648 is about 6314.0833063874. The cubic root of 39867648 is about 341.6175746506.

The spelling of 39867648 in words is "thirty-nine million, eight hundred sixty-seven thousand, six hundred forty-eight".