39855648 has 96 divisors (see below), whose sum is σ = 120766464. Its totient is φ = 11273472.

The previous prime is 39855643. The next prime is 39855659. The reversal of 39855648 is 84655893.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 39855597 and 39855606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39855643) 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, 85111 + ... + 85577.

It is an arithmetic number, because the mean of its divisors is an integer number (1257984).

Almost surely, 2^39855648 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 39855648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60383232).

39855648 is an abundant number, since it is smaller than the sum of its proper divisors (80910816).

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

39855648 is a wasteful number, since it uses less digits than its factorization.

39855648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 606 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 39855648 is about 6313.1329781654. The cubic root of 39855648 is about 341.5832960440.

The spelling of 39855648 in words is "thirty-nine million, eight hundred fifty-five thousand, six hundred forty-eight".