47682864 has 80 divisors (see below), whose sum is σ = 142848000. Its totient is φ = 15200064.

The previous prime is 47682857. The next prime is 47682871. The reversal of 47682864 is 46828674.

47682864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47682857) and next prime (47682871).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7537 + ... + 12335.

It is an arithmetic number, because the mean of its divisors is an integer number (1785600).

Almost surely, 2^47682864 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 47682864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71424000).

47682864 is an abundant number, since it is smaller than the sum of its proper divisors (95165136).

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

47682864 is a wasteful number, since it uses less digits than its factorization.

47682864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4839 (or 4827 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 47682864 is about 6905.2779813705. The cubic root of 47682864 is about 362.6219683114.

The spelling of 47682864 in words is "forty-seven million, six hundred eighty-two thousand, eight hundred sixty-four".