39648960 has 224 divisors, whose sum is σ = 151058880. Its totient is φ = 9732096.

The previous prime is 39648901. The next prime is 39648971. The reversal of 39648960 is 6984693.

Added to its reverse (6984693) it gives a triangular number (46633653 = T₉₆₅₇).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112144 + ... + 112496.

It is an arithmetic number, because the mean of its divisors is an integer number (674370).

Almost surely, 2^39648960 is an apocalyptic number.

39648960 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 39648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75529440).

39648960 is an abundant number, since it is smaller than the sum of its proper divisors (111409920).

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

39648960 is a wasteful number, since it uses less digits than its factorization.

39648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 39648960 is about 6296.7420147248. The cubic root of 39648960 is about 340.9917984056.

Adding to 39648960 its reverse (6984693), we get a triangular number (46633653 = T₉₆₅₇).

The spelling of 39648960 in words is "thirty-nine million, six hundred forty-eight thousand, nine hundred sixty".