4914864 has 80 divisors (see below), whose sum is σ = 14602240. Its totient is φ = 1581120.

The previous prime is 4914841. The next prime is 4914869. The reversal of 4914864 is 4684194.

It is a happy number.

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

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

It is not an unprimeable number, because it can be changed into a prime (4914869) by changing a digit.

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, 13209 + ... + 13575.

It is an arithmetic number, because the mean of its divisors is an integer number (182528).

Almost surely, 2^4914864 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 4914864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7301120).

4914864 is an abundant number, since it is smaller than the sum of its proper divisors (9687376).

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

4914864 is a wasteful number, since it uses less digits than its factorization.

4914864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 403 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4914864 is about 2216.9492551703. The cubic root of 4914864 is about 170.0214967049.

It can be divided in two parts, 4914 and 864, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 4914864 in words is "four million, nine hundred fourteen thousand, eight hundred sixty-four".