4716864 has 84 divisors (see below), whose sum is σ = 14264640. Its totient is φ = 1486080.

The previous prime is 4716857. The next prime is 4716869. The reversal of 4716864 is 4686174.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4716869) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10729 + ... + 11159.

Almost surely, 2^4716864 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 4716864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132320).

4716864 is an abundant number, since it is smaller than the sum of its proper divisors (9547776).

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

4716864 is a wasteful number, since it uses less digits than its factorization.

4716864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 455 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 4716864 is about 2171.8342478191. The cubic root of 4716864 is about 167.7069721874.

The spelling of 4716864 in words is "four million, seven hundred sixteen thousand, eight hundred sixty-four".