4607064 has 128 divisors (see below), whose sum is σ = 16012800. Its totient is φ = 1192320.

The previous prime is 4607059. The next prime is 4607077.

4607064 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 4607064 = 32³ + 166³ = 129³ + 135³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16494 + ... + 16770.

It is an arithmetic number, because the mean of its divisors is an integer number (125100).

Almost surely, 2^4607064 is an apocalyptic number.

4607064 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 4607064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8006400).

4607064 is an abundant number, since it is smaller than the sum of its proper divisors (11405736).

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

4607064 is a wasteful number, since it uses less digits than its factorization.

4607064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4607064 is about 2146.4072306997. The cubic root of 4607064 is about 166.3954379605.

The spelling of 4607064 in words is "four million, six hundred seven thousand, sixty-four".