4640064 has 112 divisors (see below), whose sum is σ = 14508480. Its totient is φ = 1297920.

The previous prime is 4640057. The next prime is 4640081. The reversal of 4640064 is 4600464.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356922 + ... + 356934.

It is an arithmetic number, because the mean of its divisors is an integer number (129540).

Almost surely, 2^4640064 is an apocalyptic number.

4640064 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 4640064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7254240).

4640064 is an abundant number, since it is smaller than the sum of its proper divisors (9868416).

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

4640064 is a wasteful number, since it uses less digits than its factorization.

4640064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4640064 is about 2154.0807784296. The cubic root of 4640064 is about 166.7917851598.

It can be divided in two parts, 46400 and 64, that added together give a palindrome (46464).

The spelling of 4640064 in words is "four million, six hundred forty thousand, sixty-four".