8114064 has 160 divisors (see below), whose sum is σ = 26664960. Its totient is φ = 2073600.

The previous prime is 8114059. The next prime is 8114089. The reversal of 8114064 is 4604118.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197884 + ... + 197924.

It is an arithmetic number, because the mean of its divisors is an integer number (166656).

Almost surely, 2^8114064 is an apocalyptic number.

8114064 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 8114064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13332480).

8114064 is an abundant number, since it is smaller than the sum of its proper divisors (18550896).

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

8114064 is a wasteful number, since it uses less digits than its factorization.

8114064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8114064 is about 2848.5196155196. The cubic root of 8114064 is about 200.9460512128.

The spelling of 8114064 in words is "eight million, one hundred fourteen thousand, sixty-four".