4833864 has 128 divisors (see below), whose sum is σ = 16128000. Its totient is φ = 1311552.

The previous prime is 4833863. The next prime is 4833869. The reversal of 4833864 is 4683384.

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 a d-powerful number, because it can be written as 4 + 8³ + 3⁷ + 3¹⁴ + 8³ + 6⁶ + 4⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4833863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34707 + ... + 34845.

It is an arithmetic number, because the mean of its divisors is an integer number (126000).

Almost surely, 2^4833864 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 4833864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8064000).

4833864 is an abundant number, since it is smaller than the sum of its proper divisors (11294136).

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

4833864 is a wasteful number, since it uses less digits than its factorization.

4833864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 174 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 4833864 is about 2198.6050122748. The cubic root of 4833864 is about 169.0822983034.

The spelling of 4833864 in words is "four million, eight hundred thirty-three thousand, eight hundred sixty-four".