4642624 has 56 divisors (see below), whose sum is σ = 10818368. Its totient is φ = 1935360.

The previous prime is 4642621. The next prime is 4642643. The reversal of 4642624 is 4262464.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 4⁷ + 6⁶ + 4⁷ + 2¹⁹ + 6⁸ + 2²¹ + 4⁹ .

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 4642592 and 4642601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4642621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19144 + ... + 19384.

Almost surely, 2^4642624 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 4642624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5409184).

4642624 is an abundant number, since it is smaller than the sum of its proper divisors (6175744).

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

4642624 is a wasteful number, since it uses less digits than its factorization.

4642624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 4642624 is about 2154.6749174760. The cubic root of 4642624 is about 166.8224534486.

The spelling of 4642624 in words is "four million, six hundred forty-two thousand, six hundred twenty-four".