82124160 has 64 divisors (see below), whose sum is σ = 261776880. Its totient is φ = 21899264.

The previous prime is 82124153. The next prime is 82124167. The reversal of 82124160 is 6142128.

It is an interprime number because it is at equal distance from previous prime (82124153) and next prime (82124167).

It is a tau number, because it is divible by the number of its divisors (64).

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 82124160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82124167) 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, 19467 + ... + 23306.

Almost surely, 2^82124160 is an apocalyptic number.

82124160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82124160 is an abundant number, since it is smaller than the sum of its proper divisors (179652720).

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

82124160 is a wasteful number, since it uses less digits than its factorization.

82124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42795 (or 42783 counting only the distinct ones).

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

The square root of 82124160 is about 9062.2381341477. The cubic root of 82124160 is about 434.6673106911.

Adding to 82124160 its reverse (6142128), we get a palindrome (88266288).

The spelling of 82124160 in words is "eighty-two million, one hundred twenty-four thousand, one hundred sixty".