47064864 has 96 divisors (see below), whose sum is σ = 154054656. Its totient is φ = 12222720.

The previous prime is 47064821. The next prime is 47064917. The reversal of 47064864 is 46846074.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4209 + ... + 10575.

It is an arithmetic number, because the mean of its divisors is an integer number (1604736).

Almost surely, 2^47064864 is an apocalyptic number.

47064864 is a gapful number since it is divisible by the number (44) 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 47064864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77027328).

47064864 is an abundant number, since it is smaller than the sum of its proper divisors (106989792).

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

47064864 is a wasteful number, since it uses less digits than its factorization.

47064864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6398 (or 6390 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 47064864 is about 6860.3836627407. The cubic root of 47064864 is about 361.0485479377.

The spelling of 47064864 in words is "forty-seven million, sixty-four thousand, eight hundred sixty-four".