8097264 has 120 divisors (see below), whose sum is σ = 26888160. Its totient is φ = 2225664.

The previous prime is 8097259. The next prime is 8097277. The reversal of 8097264 is 4627908.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29094 + ... + 29370.

It is an arithmetic number, because the mean of its divisors is an integer number (224068).

Almost surely, 2^8097264 is an apocalyptic number.

8097264 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 8097264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13444080).

8097264 is an abundant number, since it is smaller than the sum of its proper divisors (18790896).

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

8097264 is a wasteful number, since it uses less digits than its factorization.

8097264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 318 counting only the distinct ones).

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

The square root of 8097264 is about 2845.5691873507. The cubic root of 8097264 is about 200.8072705208.

It can be divided in two parts, 80 and 97264, that added together give a square (97344 = 312²).

The spelling of 8097264 in words is "eight million, ninety-seven thousand, two hundred sixty-four".