5802624 has 128 divisors (see below), whose sum is σ = 18115200. Its totient is φ = 1824768.

The previous prime is 5802623. The next prime is 5802653. The reversal of 5802624 is 4262085.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5802623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79452 + ... + 79524.

It is an arithmetic number, because the mean of its divisors is an integer number (141525).

Almost surely, 2^5802624 is an apocalyptic number.

5802624 is a gapful number since it is divisible by the number (54) 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 5802624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9057600).

5802624 is an abundant number, since it is smaller than the sum of its proper divisors (12312576).

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

5802624 is a wasteful number, since it uses less digits than its factorization.

5802624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5802624 is about 2408.8636325039. The cubic root of 5802624 is about 179.6972689182.

The spelling of 5802624 in words is "five million, eight hundred two thousand, six hundred twenty-four".