4587264 has 108 divisors (see below), whose sum is σ = 14508312. Its totient is φ = 1382400.

The previous prime is 4587241. The next prime is 4587269. The reversal of 4587264 is 4627854.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4⁵ + 5⁸ + 8² + 7 + 2²² + 6³ + 4⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4587269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25254 + ... + 25434.

Almost surely, 2^4587264 is an apocalyptic number.

4587264 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 4587264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7254156).

4587264 is an abundant number, since it is smaller than the sum of its proper divisors (9921048).

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

4587264 is a wasteful number, since it uses less digits than its factorization.

4587264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 197 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 4587264 is about 2141.7899056630. The cubic root of 4587264 is about 166.1567204314.

It can be divided in two parts, 4587 and 264, that added together give a triangular number (4851 = T₉₈).

The spelling of 4587264 in words is "four million, five hundred eighty-seven thousand, two hundred sixty-four".