39896064 has 220 divisors, whose sum is σ = 131769484. Its totient is φ = 11943936.

The previous prime is 39896047. The next prime is 39896069. The reversal of 39896064 is 46069893.

39896064 is a `hidden beast` number, since 39 + 8 + 9 + 606 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21233664 + 18662400 = 4608^2 + 4320^2 .

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (39896069) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1078254 + ... + 1078290.

Almost surely, 2^39896064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39896064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65884742).

39896064 is an abundant number, since it is smaller than the sum of its proper divisors (91873420).

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

39896064 is a wasteful number, since it uses less digits than its factorization.

39896064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 55 counting only the distinct ones).

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

The square root of 39896064 is about 6316.3331134449. Note that the first 3 decimals coincide. The cubic root of 39896064 is about 341.6987189707.

The spelling of 39896064 in words is "thirty-nine million, eight hundred ninety-six thousand, sixty-four".