39936960 has 252 divisors, whose sum is σ = 160358328. Its totient is φ = 9096192.

The previous prime is 39936943. The next prime is 39936971. The reversal of 39936960 is 6963993.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140979 + ... + 141261.

Almost surely, 2^39936960 is an apocalyptic number.

39936960 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 39936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80179164).

39936960 is an abundant number, since it is smaller than the sum of its proper divisors (120421368).

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

39936960 is a wasteful number, since it uses less digits than its factorization.

39936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 45.

The square root of 39936960 is about 6319.5696055982. The cubic root of 39936960 is about 341.8154333977.

The spelling of 39936960 in words is "thirty-nine million, nine hundred thirty-six thousand, nine hundred sixty".