39793920 has 144 divisors (see below), whose sum is σ = 130587072. Its totient is φ = 10321920.

The previous prime is 39793891. The next prime is 39793931. The reversal of 39793920 is 2939793.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 165000 + ... + 165240.

Almost surely, 2^39793920 is an apocalyptic number.

39793920 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 39793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65293536).

39793920 is an abundant number, since it is smaller than the sum of its proper divisors (90793152).

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

39793920 is a wasteful number, since it uses less digits than its factorization.

39793920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 42.

The square root of 39793920 is about 6308.2422274355. The cubic root of 39793920 is about 341.4068580762.

The spelling of 39793920 in words is "thirty-nine million, seven hundred ninety-three thousand, nine hundred twenty".