4836624 has 80 divisors (see below), whose sum is σ = 14082432. Its totient is φ = 1419264.

The previous prime is 4836613. The next prime is 4836631. The reversal of 4836624 is 4266384.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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

Its product of digits (27648) is a multiple of the sum of its prime factors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14184 + ... + 14520.

Almost surely, 2^4836624 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 4836624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7041216).

4836624 is an abundant number, since it is smaller than the sum of its proper divisors (9245808).

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

4836624 is a wasteful number, since it uses less digits than its factorization.

4836624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 378 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 4836624 is about 2199.2325934289. The cubic root of 4836624 is about 169.1144725883.

It can be divided in two parts, 4836 and 624, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 4836624 in words is "four million, eight hundred thirty-six thousand, six hundred twenty-four".