4547664 has 150 divisors (see below), whose sum is σ = 14966490. Its totient is φ = 1330560.

The previous prime is 4547657. The next prime is 4547689. The reversal of 4547664 is 4667454.

4547664 = 22³ + 23³ + ... + 65³.

It can be written as a sum of positive squares in only one way, i.e., 3920400 + 627264 = 1980^2 + 792^2 .

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

Its product of digits (80640) is a multiple of the sum of its prime divisors (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 156802 + ... + 156830.

Almost surely, 2^4547664 is an apocalyptic number.

4547664 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 4547664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7483245).

4547664 is an abundant number, since it is smaller than the sum of its proper divisors (10418826).

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

4547664 is a wasteful number, since it uses less digits than its factorization.

4547664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 45 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 4547664 is about 2132.5252636253. The cubic root of 4547664 is about 165.6772166675.

It can be divided in two parts, 454 and 7664, that added together give a palindrome (8118).

The spelling of 4547664 in words is "four million, five hundred forty-seven thousand, six hundred sixty-four".