4866624 has 168 divisors, whose sum is σ = 17117568. Its totient is φ = 1290240.

The previous prime is 4866623. The next prime is 4866629. The reversal of 4866624 is 4266684.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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 + 8⁵ + 6⁶ + 6⁷ + 6⁷ + 2¹⁵ + 4¹¹ .

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (4866623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68509 + ... + 68579.

Almost surely, 2^4866624 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 4866624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8558784).

4866624 is an abundant number, since it is smaller than the sum of its proper divisors (12250944).

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

4866624 is a wasteful number, since it uses less digits than its factorization.

4866624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 100 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 4866624 is about 2206.0426106492. The cubic root of 4866624 is about 169.4634060976.

The spelling of 4866624 in words is "four million, eight hundred sixty-six thousand, six hundred twenty-four".