82814160 has 320 divisors, whose sum is σ = 319979520. Its totient is φ = 17418240.

The previous prime is 82814129. The next prime is 82814161. The reversal of 82814160 is 6141828.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82814161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 652017 + ... + 652143.

It is an arithmetic number, because the mean of its divisors is an integer number (999936).

Almost surely, 2^82814160 is an apocalyptic number.

82814160 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 82814160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159989760).

82814160 is an abundant number, since it is smaller than the sum of its proper divisors (237165360).

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

82814160 is a wasteful number, since it uses less digits than its factorization.

82814160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 82814160 is about 9100.2285685580. The cubic root of 82814160 is about 435.8812627318.

Adding to 82814160 its reverse (6141828), we get a palindrome (88955988).

The spelling of 82814160 in words is "eighty-two million, eight hundred fourteen thousand, one hundred sixty".