4329864 has 144 divisors (see below), whose sum is σ = 14938560. Its totient is φ = 1108800.

The previous prime is 4329847. The next prime is 4329881. The reversal of 4329864 is 4689234.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4329847) and next prime (4329881).

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 4⁵ + 3⁷ + 2¹⁷ + 9³ + 8³ + 6² + 4¹¹ .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60949 + ... + 61019.

It is an arithmetic number, because the mean of its divisors is an integer number (103740).

Almost surely, 2^4329864 is an apocalyptic number.

4329864 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 4329864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469280).

4329864 is an abundant number, since it is smaller than the sum of its proper divisors (10608696).

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

4329864 is a wasteful number, since it uses less digits than its factorization.

4329864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4329864 is about 2080.8325256973. The cubic root of 4329864 is about 162.9889211736.

It can be divided in two parts, 432 and 9864, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 4329864 in words is "four million, three hundred twenty-nine thousand, eight hundred sixty-four".