39891960 has 128 divisors (see below), whose sum is σ = 136224000. Its totient is φ = 10378368.

The previous prime is 39891953. The next prime is 39891961. The reversal of 39891960 is 6919893.

39891960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39891961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46011 + ... + 46869.

It is an arithmetic number, because the mean of its divisors is an integer number (1064250).

Almost surely, 2^39891960 is an apocalyptic number.

39891960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39891960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68112000).

39891960 is an abundant number, since it is smaller than the sum of its proper divisors (96332040).

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

39891960 is a wasteful number, since it uses less digits than its factorization.

39891960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 39891960 is about 6316.0082330535. The cubic root of 39891960 is about 341.6870020285.

The spelling of 39891960 in words is "thirty-nine million, eight hundred ninety-one thousand, nine hundred sixty".