8270964 has 96 divisors (see below), whose sum is σ = 23802240. Its totient is φ = 2467584.

The previous prime is 8270963. The next prime is 8270981. The reversal of 8270964 is 4690728.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8270963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60304 + ... + 60440.

It is an arithmetic number, because the mean of its divisors is an integer number (247940).

Almost surely, 2^8270964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8270964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11901120).

8270964 is an abundant number, since it is smaller than the sum of its proper divisors (15531276).

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

8270964 is a wasteful number, since it uses less digits than its factorization.

8270964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8270964 is about 2875.9283718479. The cubic root of 8270964 is about 202.2330089019.

The spelling of 8270964 in words is "eight million, two hundred seventy thousand, nine hundred sixty-four".