82646160 has 160 divisors (see below), whose sum is σ = 270732672. Its totient is φ = 20828160.

The previous prime is 82646159. The next prime is 82646167. The reversal of 82646160 is 6164628.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82646167) 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 31 ways as a sum of consecutive naturals, for example, 363967 + ... + 364193.

Almost surely, 2^82646160 is an apocalyptic number.

82646160 is a gapful number since it is divisible by the number (80) 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 82646160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135366336).

82646160 is an abundant number, since it is smaller than the sum of its proper divisors (188086512).

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

82646160 is a wasteful number, since it uses less digits than its factorization.

82646160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 82646160 is about 9090.9933450641. The cubic root of 82646160 is about 435.5863146787.

The spelling of 82646160 in words is "eighty-two million, six hundred forty-six thousand, one hundred sixty".