39882240 has 160 divisors (see below), whose sum is σ = 141910560. Its totient is φ = 10616832.

The previous prime is 39882233. The next prime is 39882251. The reversal of 39882240 is 4228893.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 39882195 and 39882204.

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 15 ways as a sum of consecutive naturals, for example, 68832 + ... + 69408.

It is an arithmetic number, because the mean of its divisors is an integer number (886941).

Almost surely, 2^39882240 is an apocalyptic number.

39882240 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 39882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70955280).

39882240 is an abundant number, since it is smaller than the sum of its proper divisors (102028320).

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

39882240 is an equidigital number, since it uses as much as digits as its factorization.

39882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 39882240 is about 6315.2387128279. The cubic root of 39882240 is about 341.6592481699.

The spelling of 39882240 in words is "thirty-nine million, eight hundred eighty-two thousand, two hundred forty".