8279964 has 144 divisors (see below), whose sum is σ = 27256320. Its totient is φ = 2056320.

The previous prime is 8279963. The next prime is 8279983. The reversal of 8279964 is 4699728.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8279963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80337 + ... + 80439.

It is an arithmetic number, because the mean of its divisors is an integer number (189280).

Almost surely, 2^8279964 is an apocalyptic number.

8279964 is a gapful number since it is divisible by the number (84) 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 8279964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13628160).

8279964 is an abundant number, since it is smaller than the sum of its proper divisors (18976356).

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

8279964 is a wasteful number, since it uses less digits than its factorization.

8279964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 155 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 8279964 is about 2877.4926585484. The cubic root of 8279964 is about 202.3063351915.

It can be divided in two parts, 8 and 279964, that added together give a palindrome (279972).

The spelling of 8279964 in words is "eight million, two hundred seventy-nine thousand, nine hundred sixty-four".