8395464 has 144 divisors (see below), whose sum is σ = 27291600. Its totient is φ = 2143680.

The previous prime is 8395441. The next prime is 8395487. The reversal of 8395464 is 4645938.

It is an interprime number because it is at equal distance from previous prime (8395441) and next prime (8395487).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 142267 + ... + 142325.

It is an arithmetic number, because the mean of its divisors is an integer number (189525).

Almost surely, 2^8395464 is an apocalyptic number.

8395464 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 8395464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13645800).

8395464 is an abundant number, since it is smaller than the sum of its proper divisors (18896136).

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

8395464 is a wasteful number, since it uses less digits than its factorization.

8395464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 82 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 8395464 is about 2897.4927092229. The cubic root of 8395464 is about 203.2426745059.

The spelling of 8395464 in words is "eight million, three hundred ninety-five thousand, four hundred sixty-four".