4960824 has 128 divisors (see below), whose sum is σ = 15206400. Its totient is φ = 1330560.

The previous prime is 4960811. The next prime is 4960829. The reversal of 4960824 is 4280694.

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 Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4960829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115347 + ... + 115389.

It is an arithmetic number, because the mean of its divisors is an integer number (118800).

Almost surely, 2^4960824 is an apocalyptic number.

4960824 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 4960824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603200).

4960824 is an abundant number, since it is smaller than the sum of its proper divisors (10245576).

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

4960824 is a wasteful number, since it uses less digits than its factorization.

4960824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 4960824 is about 2227.2907309105. The cubic root of 4960824 is about 170.5498230455.

The spelling of 4960824 in words is "four million, nine hundred sixty thousand, eight hundred twenty-four".