39827968 has 40 divisors (see below), whose sum is σ = 80432352. Its totient is φ = 19700736.

The previous prime is 39827959. The next prime is 39827969. The reversal of 39827968 is 86972893.

It is a super-3 number, since 3×39827968³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (39827969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54421 + ... + 55147.

Almost surely, 2^39827968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40216176).

39827968 is an abundant number, since it is smaller than the sum of its proper divisors (40604384).

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

39827968 is an equidigital number, since it uses as much as digits as its factorization.

39827968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 836 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 52.

The square root of 39827968 is about 6310.9403419776. The cubic root of 39827968 is about 341.5042004761.

The spelling of 39827968 in words is "thirty-nine million, eight hundred twenty-seven thousand, nine hundred sixty-eight".