5006976 has 128 divisors (see below), whose sum is σ = 15422400. Its totient is φ = 1425408.

The previous prime is 5006971. The next prime is 5006983. The reversal of 5006976 is 6796005.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (5006971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84835 + ... + 84893.

Almost surely, 2^5006976 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 5006976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7711200).

5006976 is an abundant number, since it is smaller than the sum of its proper divisors (10415424).

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

5006976 is a wasteful number, since it uses less digits than its factorization.

5006976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 5006976 is about 2237.6273148136. The cubic root of 5006976 is about 171.0770829931.

The spelling of 5006976 in words is "five million, six thousand, nine hundred seventy-six".