8014464 has 80 divisors (see below), whose sum is σ = 23881770. Its totient is φ = 2668032.

The previous prime is 8014453. The next prime is 8014477. The reversal of 8014464 is 4644108.

It can be written as a sum of positive squares in only one way, i.e., 7884864 + 129600 = 2808^2 + 360^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9982 + ... + 10754.

Almost surely, 2^8014464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8014464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11940885).

8014464 is an abundant number, since it is smaller than the sum of its proper divisors (15867306).

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

8014464 is an equidigital number, since it uses as much as digits as its factorization.

8014464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8014464 is about 2830.9828681926. The cubic root of 8014464 is about 200.1204607648.

It can be divided in two parts, 80144 and 64, that added together give a palindrome (80208).

The spelling of 8014464 in words is "eight million, fourteen thousand, four hundred sixty-four".