82214160 has 120 divisors (see below), whose sum is σ = 296516736. Its totient is φ = 18789120.

The previous prime is 82214141. The next prime is 82214161. The reversal of 82214160 is 6141228.

It is a tau number, because it is divible by the number of its divisors (120).

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 82214160.

It is not an unprimeable number, because it can be changed into a prime (82214161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8265 + ... + 15255.

Almost surely, 2^82214160 is an apocalyptic number.

82214160 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 82214160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148258368).

82214160 is an abundant number, since it is smaller than the sum of its proper divisors (214302576).

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

82214160 is a wasteful number, since it uses less digits than its factorization.

82214160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7021 (or 7008 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 82214160 is about 9067.2024351505. The cubic root of 82214160 is about 434.8260369258.

Adding to 82214160 its reverse (6141228), we get a palindrome (88355388).

The spelling of 82214160 in words is "eighty-two million, two hundred fourteen thousand, one hundred sixty".