82124400 has 60 divisors (see below), whose sum is σ = 263075672. Its totient is φ = 21899520.

The previous prime is 82124389. The next prime is 82124407. The reversal of 82124400 is 442128.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82124407) 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 11 ways as a sum of consecutive naturals, for example, 33019 + ... + 35418.

Almost surely, 2^82124400 is an apocalyptic number.

82124400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82124400 is an abundant number, since it is smaller than the sum of its proper divisors (180951272).

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

82124400 is a wasteful number, since it uses less digits than its factorization.

82124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68458 (or 68447 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 82124400 is about 9062.2513758999. The cubic root of 82124400 is about 434.6677341153.

Adding to 82124400 its reverse (442128), we get a palindrome (82566528).

The spelling of 82124400 in words is "eighty-two million, one hundred twenty-four thousand, four hundred".