10724630 has 48 divisors (see below), whose sum is σ = 23023440. Its totient is φ = 3584448.

The previous prime is 10724629. The next prime is 10724633. The reversal of 10724630 is 3642701.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10724596 and 10724605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10724633) 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 23 ways as a sum of consecutive naturals, for example, 20816 + ... + 21324.

It is an arithmetic number, because the mean of its divisors is an integer number (479655).

Almost surely, 2^10724630 is an apocalyptic number.

10724630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10724630 is an abundant number, since it is smaller than the sum of its proper divisors (12298810).

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

10724630 is a wasteful number, since it uses less digits than its factorization.

10724630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 10724630 is about 3274.8480880798. The cubic root of 10724630 is about 220.5264938351.

The spelling of 10724630 in words is "ten million, seven hundred twenty-four thousand, six hundred thirty".