8266368 has 128 divisors (see below), whose sum is σ = 25459200. Its totient is φ = 2350080.

The previous prime is 8266351. The next prime is 8266373. The reversal of 8266368 is 8636628.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×8266368² = 136665679822848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 80205 + ... + 80307.

It is an arithmetic number, because the mean of its divisors is an integer number (198900).

Almost surely, 2^8266368 is an apocalyptic number.

8266368 is a gapful number since it is divisible by the number (88) 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 8266368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12729600).

8266368 is an abundant number, since it is smaller than the sum of its proper divisors (17192832).

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

8266368 is a wasteful number, since it uses less digits than its factorization.

8266368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 8266368 is about 2875.1292144876. The cubic root of 8266368 is about 202.1955430909.

The spelling of 8266368 in words is "eight million, two hundred sixty-six thousand, three hundred sixty-eight".