4367664 has 90 divisors (see below), whose sum is σ = 14242020. Its totient is φ = 1245888.

The previous prime is 4367647. The next prime is 4367681. The reversal of 4367664 is 4667634.

It is an interprime number because it is at equal distance from previous prime (4367647) and next prime (4367681).

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 4⁴ + 3¹³ + 6 + 7⁷ + 6⁵ + 6⁸ + 4⁹ .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6747 + ... + 7365.

Almost surely, 2^4367664 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 4367664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7121010).

4367664 is an abundant number, since it is smaller than the sum of its proper divisors (9874356).

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

4367664 is a wasteful number, since it uses less digits than its factorization.

4367664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 631 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 4367664 is about 2089.8956911770. The cubic root of 4367664 is about 163.4618489668.

It can be divided in two parts, 436 and 7664, that added together give a square (8100 = 90²).

The spelling of 4367664 in words is "four million, three hundred sixty-seven thousand, six hundred sixty-four".