8202960 has 60 divisors (see below), whose sum is σ = 27550692. Its totient is φ = 2187264.

The previous prime is 8202949. The next prime is 8202967. The reversal of 8202960 is 692028.

8202960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4562496 + 3640464 = 2136^2 + 1908^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8202967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4977 + ... + 6416.

Almost surely, 2^8202960 is an apocalyptic number.

8202960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8202960 is an abundant number, since it is smaller than the sum of its proper divisors (19347732).

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

8202960 is a wasteful number, since it uses less digits than its factorization.

8202960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11412 (or 11403 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8202960 is about 2864.0810044410. The cubic root of 8202960 is about 201.6772285371.

Adding to 8202960 its reverse (692028), we get a palindrome (8894988).

The spelling of 8202960 in words is "eight million, two hundred two thousand, nine hundred sixty".