82640064 has 112 divisors (see below), whose sum is σ = 238365792. Its totient is φ = 25116672.

The previous prime is 82640021. The next prime is 82640071. The reversal of 82640064 is 46004628.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281902 + ... + 282194.

It is an arithmetic number, because the mean of its divisors is an integer number (2128266).

Almost surely, 2^82640064 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 82640064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119182896).

82640064 is an abundant number, since it is smaller than the sum of its proper divisors (155725728).

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

82640064 is a wasteful number, since it uses less digits than its factorization.

82640064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 82640064 is about 9090.6580619887. The cubic root of 82640064 is about 435.5756047661.

It can be divided in two parts, 82 and 640064, that added together give a triangular number (640146 = T₁₁₃₁).

The spelling of 82640064 in words is "eighty-two million, six hundred forty thousand, sixty-four".