4927824 has 160 divisors (see below), whose sum is σ = 16606080. Its totient is φ = 1382400.

The previous prime is 4927823. The next prime is 4927861. The reversal of 4927824 is 4287294.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4927823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80754 + ... + 80814.

It is an arithmetic number, because the mean of its divisors is an integer number (103788).

Almost surely, 2^4927824 is an apocalyptic number.

4927824 is a gapful number since it is divisible by the number (44) 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 4927824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303040).

4927824 is an abundant number, since it is smaller than the sum of its proper divisors (11678256).

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

4927824 is a wasteful number, since it uses less digits than its factorization.

4927824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 94 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 4927824 is about 2219.8702664796. The cubic root of 4927824 is about 170.1708087134.

The spelling of 4927824 in words is "four million, nine hundred twenty-seven thousand, eight hundred twenty-four".