39887616 has 72 divisors (see below), whose sum is σ = 107138304. Its totient is φ = 13173760.

The previous prime is 39887611. The next prime is 39887621. The reversal of 39887616 is 61678893.

It is an interprime number because it is at equal distance from previous prime (39887611) and next prime (39887621).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39887611) 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 7 ways as a sum of consecutive naturals, for example, 128101 + ... + 128411.

It is an arithmetic number, because the mean of its divisors is an integer number (1488032).

Almost surely, 2^39887616 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 39887616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53569152).

39887616 is an abundant number, since it is smaller than the sum of its proper divisors (67250688).

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

39887616 is a wasteful number, since it uses less digits than its factorization.

39887616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 483 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 39887616 is about 6315.6643356024. The cubic root of 39887616 is about 341.6745990094.

The spelling of 39887616 in words is "thirty-nine million, eight hundred eighty-seven thousand, six hundred sixteen".