39985950 has 48 divisors (see below), whose sum is σ = 99993600. Its totient is φ = 10573920.

The previous prime is 39985871. The next prime is 39985951. The reversal of 39985950 is 5958993.

It is a self number, because there is not a number n which added to its sum of digits gives 39985950.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39985951) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18001 + ... + 20099.

It is an arithmetic number, because the mean of its divisors is an integer number (2083200).

Almost surely, 2^39985950 is an apocalyptic number.

39985950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 39985950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49996800).

39985950 is an abundant number, since it is smaller than the sum of its proper divisors (60007650).

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

39985950 is a wasteful number, since it uses less digits than its factorization.

39985950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 48.

The square root of 39985950 is about 6323.4444727538. Note that the first 4 decimals coincide. The cubic root of 39985950 is about 341.9551427094.

The spelling of 39985950 in words is "thirty-nine million, nine hundred eighty-five thousand, nine hundred fifty".