39897120 has 96 divisors (see below), whose sum is σ = 128665152. Its totient is φ = 10386432.

The previous prime is 39897097. The next prime is 39897191. The reversal of 39897120 is 2179893.

It is a tau number, because it is divible by the number of its divisors (96).

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, 19674 + ... + 21606.

It is an arithmetic number, because the mean of its divisors is an integer number (1340262).

Almost surely, 2^39897120 is an apocalyptic number.

39897120 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 39897120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64332576).

39897120 is an abundant number, since it is smaller than the sum of its proper divisors (88768032).

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

39897120 is a wasteful number, since it uses less digits than its factorization.

39897120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 39897120 is about 6316.4167056964. The cubic root of 39897120 is about 341.7017337264.

The spelling of 39897120 in words is "thirty-nine million, eight hundred ninety-seven thousand, one hundred twenty".