4968864 has 96 divisors (see below), whose sum is σ = 14878080. Its totient is φ = 1632960.

The previous prime is 4968857. The next prime is 4968869. The reversal of 4968864 is 4688694.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4968869) 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, 69949 + ... + 70019.

It is an arithmetic number, because the mean of its divisors is an integer number (154980).

Almost surely, 2^4968864 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 4968864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7439040).

4968864 is an abundant number, since it is smaller than the sum of its proper divisors (9909216).

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

4968864 is an frugal number, since it uses more digits than its factorization.

4968864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 4968864 is about 2229.0948835794. The cubic root of 4968864 is about 170.6419099290.

It can be divided in two parts, 4968 and 864, that added together give a cube (5832 = 18³).

The spelling of 4968864 in words is "four million, nine hundred sixty-eight thousand, eight hundred sixty-four".