82700160 has 128 divisors (see below), whose sum is σ = 277603200. Its totient is φ = 20883456.

The previous prime is 82700159. The next prime is 82700183. The reversal of 82700160 is 6100728.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 82700160.

It is a congruent number.

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, 35347 + ... + 37613.

It is an arithmetic number, because the mean of its divisors is an integer number (2168775).

Almost surely, 2^82700160 is an apocalyptic number.

82700160 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 82700160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138801600).

82700160 is an abundant number, since it is smaller than the sum of its proper divisors (194903040).

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

82700160 is a wasteful number, since it uses less digits than its factorization.

82700160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 82700160 is about 9093.9628325610. The cubic root of 82700160 is about 435.6811629650.

Adding to 82700160 its reverse (6100728), we get a palindrome (88800888).

The spelling of 82700160 in words is "eighty-two million, seven hundred thousand, one hundred sixty".