39768960 has 256 divisors, whose sum is σ = 158630400. Its totient is φ = 8232960.

The previous prime is 39768941. The next prime is 39768961. The reversal of 39768960 is 6986793.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39768961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147706 + ... + 147974.

It is an arithmetic number, because the mean of its divisors is an integer number (619650).

Almost surely, 2^39768960 is an apocalyptic number.

39768960 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 39768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79315200).

39768960 is an abundant number, since it is smaller than the sum of its proper divisors (118861440).

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

39768960 is a wasteful number, since it uses less digits than its factorization.

39768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 39768960 is about 6306.2635530082. The cubic root of 39768960 is about 341.3354627688.

The spelling of 39768960 in words is "thirty-nine million, seven hundred sixty-eight thousand, nine hundred sixty".