5468736 has 112 divisors (see below), whose sum is σ = 17865344. Its totient is φ = 1437696.

The previous prime is 5468717. The next prime is 5468737. The reversal of 5468736 is 6378645.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 5468694 and 5468703.

It is not an unprimeable number, because it can be changed into a prime (5468737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17316 + ... + 17628.

It is an arithmetic number, because the mean of its divisors is an integer number (159512).

Almost surely, 2^5468736 is an apocalyptic number.

5468736 is a gapful number since it is divisible by the number (56) 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 5468736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8932672).

5468736 is an abundant number, since it is smaller than the sum of its proper divisors (12396608).

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

5468736 is a wasteful number, since it uses less digits than its factorization.

5468736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 338 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 5468736 is about 2338.5328734059. The cubic root of 5468736 is about 176.1823179591.

Subtracting 5468736 from its reverse (6378645), we obtain a palindrome (909909).

It can be divided in two parts, 546 and 8736, that multiplied together give a square (4769856 = 2184²).

The spelling of 5468736 in words is "five million, four hundred sixty-eight thousand, seven hundred thirty-six".