4938624 has 64 divisors (see below), whose sum is σ = 14586000. Its totient is φ = 1645056.

The previous prime is 4938623. The next prime is 4938643. The reversal of 4938624 is 4268394.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 4 + 9⁵ + 3¹³ + 8⁵ + 6⁸ + 2¹⁹ + 4¹⁰ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4938623) 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, 2742 + ... + 4170.

Almost surely, 2^4938624 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 4938624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7293000).

4938624 is an abundant number, since it is smaller than the sum of its proper divisors (9647376).

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

4938624 is a wasteful number, since it uses less digits than its factorization.

4938624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1434 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4938624 is about 2222.3015096966. The cubic root of 4938624 is about 170.2950355349.

The spelling of 4938624 in words is "four million, nine hundred thirty-eight thousand, six hundred twenty-four".