39848960 has 88 divisors (see below), whose sum is σ = 98354256. Its totient is φ = 15482880.

The previous prime is 39848959. The next prime is 39848999. The reversal of 39848960 is 6984893.

It is a super-2 number, since 2×39848960² = 3175879226163200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220070 + ... + 220250.

It is an arithmetic number, because the mean of its divisors is an integer number (1117662).

Almost surely, 2^39848960 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 39848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49177128).

39848960 is an abundant number, since it is smaller than the sum of its proper divisors (58505296).

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

39848960 is a wasteful number, since it uses less digits than its factorization.

39848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The square root of 39848960 is about 6312.6032664821. The cubic root of 39848960 is about 341.5641884478.

The spelling of 39848960 in words is "thirty-nine million, eight hundred forty-eight thousand, nine hundred sixty".