10724010 has 32 divisors (see below), whose sum is σ = 28078272. Its totient is φ = 2599680.

The previous prime is 10723981. The next prime is 10724011. The reversal of 10724010 is 1042701.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10724011) 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 15 ways as a sum of consecutive naturals, for example, 15919 + ... + 16578.

It is an arithmetic number, because the mean of its divisors is an integer number (877446).

Almost surely, 2^10724010 is an apocalyptic number.

10724010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10724010 is an abundant number, since it is smaller than the sum of its proper divisors (17354262).

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

10724010 is a wasteful number, since it uses less digits than its factorization.

10724010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32518.

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 10724010 is about 3274.7534258322. The cubic root of 10724010 is about 220.5222441450.

Adding to 10724010 its reverse (1042701), we get a palindrome (11766711).

The spelling of 10724010 in words is "ten million, seven hundred twenty-four thousand, ten".