8349264 has 160 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 2160000.

The previous prime is 8349251. The next prime is 8349269. The reversal of 8349264 is 4629438.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8349269) 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, 33139 + ... + 33389.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 2^8349264 is an apocalyptic number.

8349264 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 8349264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

8349264 is an abundant number, since it is smaller than the sum of its proper divisors (21648816).

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

8349264 is a wasteful number, since it uses less digits than its factorization.

8349264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 274 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 8349264 is about 2889.5093009021. The cubic root of 8349264 is about 202.8691756590.

The spelling of 8349264 in words is "eight million, three hundred forty-nine thousand, two hundred sixty-four".