82136880 has 240 divisors, whose sum is σ = 323431680. Its totient is φ = 18289152.

The previous prime is 82136863. The next prime is 82136881. The reversal of 82136880 is 8863128.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×82136880² = 13492934112268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82136881) 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 47 ways as a sum of consecutive naturals, for example, 216531 + ... + 216909.

It is an arithmetic number, because the mean of its divisors is an integer number (1347632).

Almost surely, 2^82136880 is an apocalyptic number.

82136880 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 82136880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161715840).

82136880 is an abundant number, since it is smaller than the sum of its proper divisors (241294800).

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

82136880 is a wasteful number, since it uses less digits than its factorization.

82136880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 82136880 is about 9062.9399203570. The cubic root of 82136880 is about 434.6897510333.

The spelling of 82136880 in words is "eighty-two million, one hundred thirty-six thousand, eight hundred eighty".