10206960 has 80 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 2679040.

The previous prime is 10206949. The next prime is 10206983. The reversal of 10206960 is 6960201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10206960.

It is a congruent number.

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, 16741 + ... + 17339.

It is an arithmetic number, because the mean of its divisors is an integer number (401760).

Almost surely, 2^10206960 is an apocalyptic number.

10206960 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 10206960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

10206960 is an abundant number, since it is smaller than the sum of its proper divisors (21933840).

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

10206960 is a wasteful number, since it uses less digits than its factorization.

10206960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 10206960 is about 3194.8333289860. The cubic root of 10206960 is about 216.9196046695.

The spelling of 10206960 in words is "ten million, two hundred six thousand, nine hundred sixty".