8132064 has 96 divisors (see below), whose sum is σ = 23224320. Its totient is φ = 2483712.

The previous prime is 8132051. The next prime is 8132077. The reversal of 8132064 is 4602318.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8132051) and next prime (8132077).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×8132064³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 63969 + ... + 64095.

It is an arithmetic number, because the mean of its divisors is an integer number (241920).

Almost surely, 2^8132064 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 8132064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160).

8132064 is an abundant number, since it is smaller than the sum of its proper divisors (15092256).

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

8132064 is a wasteful number, since it uses less digits than its factorization.

8132064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 8132064 is about 2851.6774011097. The cubic root of 8132064 is about 201.0945324004.

The spelling of 8132064 in words is "eight million, one hundred thirty-two thousand, sixty-four".