10206720 has 120 divisors (see below), whose sum is σ = 35428536. Its totient is φ = 2715648.

The previous prime is 10206697. The next prime is 10206731. The reversal of 10206720 is 2760201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10206693 and 10206702.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 22819 + ... + 23261.

Almost surely, 2^10206720 is an apocalyptic number.

10206720 is a gapful number since it is divisible by the number (10) 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 10206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17714268).

10206720 is an abundant number, since it is smaller than the sum of its proper divisors (25221816).

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

10206720 is an equidigital number, since it uses as much as digits as its factorization.

10206720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10206720 is about 3194.7957681204. The cubic root of 10206720 is about 216.9179044860.

Adding to 10206720 its reverse (2760201), we get a palindrome (12966921).

The spelling of 10206720 in words is "ten million, two hundred six thousand, seven hundred twenty".