4600064 has 72 divisors (see below), whose sum is σ = 11184768. Its totient is φ = 1843200.

The previous prime is 4600061. The next prime is 4600073.

4600064 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4600061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30389 + ... + 30539.

It is an arithmetic number, because the mean of its divisors is an integer number (155344).

Almost surely, 2^4600064 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 4600064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5592384).

4600064 is an abundant number, since it is smaller than the sum of its proper divisors (6584704).

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

4600064 is a wasteful number, since it uses less digits than its factorization.

4600064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4600064 is about 2144.7759789778. The cubic root of 4600064 is about 166.3111211749.

It can be divided in two parts, 46000 and 64, that added together give a palindrome (46064).

The spelling of 4600064 in words is "four million, six hundred thousand, sixty-four".