39920160 has 144 divisors (see below), whose sum is σ = 145043136. Its totient is φ = 9040896.

The previous prime is 39920143. The next prime is 39920171. The reversal of 39920160 is 6102993.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 366186 + ... + 366294.

It is an arithmetic number, because the mean of its divisors is an integer number (1007244).

Almost surely, 2^39920160 is an apocalyptic number.

39920160 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 39920160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72521568).

39920160 is an abundant number, since it is smaller than the sum of its proper divisors (105122976).

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

39920160 is a wasteful number, since it uses less digits than its factorization.

39920160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 39920160 is about 6318.2402613386. The cubic root of 39920160 is about 341.7674969775.

The spelling of 39920160 in words is "thirty-nine million, nine hundred twenty thousand, one hundred sixty".