8164464 has 120 divisors (see below), whose sum is σ = 26867328. Its totient is φ = 2075520.

The previous prime is 8164451. The next prime is 8164469. The reversal of 8164464 is 4644618.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 (8164469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173689 + ... + 173735.

Almost surely, 2^8164464 is an apocalyptic number.

8164464 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 8164464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13433664).

8164464 is an abundant number, since it is smaller than the sum of its proper divisors (18702864).

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

8164464 is a wasteful number, since it uses less digits than its factorization.

8164464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 70 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 8164464 is about 2857.3526208713. The cubic root of 8164464 is about 201.3612473418.

The spelling of 8164464 in words is "eight million, one hundred sixty-four thousand, four hundred sixty-four".