2024064 has 96 divisors (see below), whose sum is σ = 6683040. Its totient is φ = 576000.

The previous prime is 2024063. The next prime is 2024093. The reversal of 2024064 is 4604202.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2024063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7939 + ... + 8189.

It is an arithmetic number, because the mean of its divisors is an integer number (69615).

2^2024064 is an apocalyptic number.

2024064 is a gapful number since it is divisible by the number (24) 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 2024064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341520).

2024064 is an abundant number, since it is smaller than the sum of its proper divisors (4658976).

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

2024064 is a wasteful number, since it uses less digits than its factorization.

2024064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2024064 is about 1422.6960321868. The cubic root of 2024064 is about 126.4954041251.

Adding to 2024064 its reverse (4604202), we get a palindrome (6628266).

The spelling of 2024064 in words is "two million, twenty-four thousand, sixty-four".