82644160 has 56 divisors (see below), whose sum is σ = 197729856. Its totient is φ = 32901120.

The previous prime is 82644137. The next prime is 82644161. The reversal of 82644160 is 6144628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82644161) 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 7 ways as a sum of consecutive naturals, for example, 86244 + ... + 87196.

Almost surely, 2^82644160 is an apocalyptic number.

82644160 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 82644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98864928).

82644160 is an abundant number, since it is smaller than the sum of its proper divisors (115085696).

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

82644160 is a wasteful number, since it uses less digits than its factorization.

82644160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 82644160 is about 9090.8833454181. The cubic root of 82644160 is about 435.5828009859.

Adding to 82644160 its reverse (6144628), we get a palindrome (88788788).

The spelling of 82644160 in words is "eighty-two million, six hundred forty-four thousand, one hundred sixty".