10724868 has 144 divisors (see below), whose sum is σ = 34909056. Its totient is φ = 2695680.

The previous prime is 10724863. The next prime is 10724881. The reversal of 10724868 is 86842701.

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

It is not an unprimeable number, because it can be changed into a prime (10724863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146880 + ... + 146952.

It is an arithmetic number, because the mean of its divisors is an integer number (242424).

Almost surely, 2^10724868 is an apocalyptic number.

10724868 is a gapful number since it is divisible by the number (18) 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 10724868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17454528).

10724868 is an abundant number, since it is smaller than the sum of its proper divisors (24184188).

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

10724868 is a wasteful number, since it uses less digits than its factorization.

10724868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 10724868 is about 3274.8844254416. The cubic root of 10724868 is about 220.5281251242.

The spelling of 10724868 in words is "ten million, seven hundred twenty-four thousand, eight hundred sixty-eight".