10206724 has 48 divisors (see below), whose sum is σ = 21268800. Its totient is φ = 4233600.

The previous prime is 10206697. The next prime is 10206731. The reversal of 10206724 is 42760201.

10206724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10206695 and 10206704.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24034 + ... + 24454.

It is an arithmetic number, because the mean of its divisors is an integer number (443100).

Almost surely, 2^10206724 is an apocalyptic number.

It is an amenable number.

10206724 is an abundant number, since it is smaller than the sum of its proper divisors (11062076).

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

10206724 is a wasteful number, since it uses less digits than its factorization.

10206724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 10206724 is about 3194.7963941384. The cubic root of 10206724 is about 216.9179328226.

Adding to 10206724 its reverse (42760201), we get a palindrome (52966925).

It can be divided in two parts, 1020 and 6724, that added together give a square (7744 = 88²).

The spelling of 10206724 in words is "ten million, two hundred six thousand, seven hundred twenty-four".