39960576 has 90 divisors (see below), whose sum is σ = 115864112. Its totient is φ = 13271040.

The previous prime is 39960563. The next prime is 39960577. The reversal of 39960576 is 67506993.

39960576 is a `hidden beast` number, since 39 + 9 + 605 + 7 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39960577) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147321 + ... + 147591.

Almost surely, 2^39960576 is an apocalyptic number.

39960576 is a gapful number since it is divisible by the number (36) 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 39960576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57932056).

39960576 is an abundant number, since it is smaller than the sum of its proper divisors (75903536).

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

39960576 is an equidigital number, since it uses as much as digits as its factorization.

39960576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 39960576 is about 6321.4378111313. The cubic root of 39960576 is about 341.8827955826.

The spelling of 39960576 in words is "thirty-nine million, nine hundred sixty thousand, five hundred seventy-six".