4365648 has 120 divisors (see below), whose sum is σ = 14391936. Its totient is φ = 1209600.

The previous prime is 4365623. The next prime is 4365677. The reversal of 4365648 is 8465634.

4365648 is a `hidden beast` number, since 4 + 3 + 6 + 5 + 648 = 666.

It is a super-3 number, since 3×4365648³ (a number of 21 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 4⁸ + 3⁹ + 6³ + 5⁷ + 6⁵ + 4¹¹ + 8 .

Its product of digits (69120) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61453 + ... + 61523.

Almost surely, 2^4365648 is an apocalyptic number.

4365648 is a gapful number since it is divisible by the number (48) 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 4365648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7195968).

4365648 is an abundant number, since it is smaller than the sum of its proper divisors (10026288).

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

4365648 is a wasteful number, since it uses less digits than its factorization.

4365648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 144 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 4365648 is about 2089.4133147848. The cubic root of 4365648 is about 163.4366951850.

It can be divided in two parts, 436 and 5648, that added together give a square (6084 = 78²).

The spelling of 4365648 in words is "four million, three hundred sixty-five thousand, six hundred forty-eight".