39960648 has 256 divisors, whose sum is σ = 145152000. Its totient is φ = 9891072.

The previous prime is 39960647. The next prime is 39960653. The reversal of 39960648 is 84606993.

39960648 is a `hidden beast` number, since 39 + 9 + 606 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (39960647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 373411 + ... + 373517.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 2^39960648 is an apocalyptic number.

39960648 is a gapful number since it is divisible by the number (38) 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 39960648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576000).

39960648 is an abundant number, since it is smaller than the sum of its proper divisors (105191352).

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

39960648 is a wasteful number, since it uses less digits than its factorization.

39960648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 151 counting only the distinct ones).

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

The square root of 39960648 is about 6321.4435060356. The cubic root of 39960648 is about 341.8830009145.

The spelling of 39960648 in words is "thirty-nine million, nine hundred sixty thousand, six hundred forty-eight".