82546128 has 160 divisors (see below), whose sum is σ = 274942720. Its totient is φ = 23514624.

The previous prime is 82546117. The next prime is 82546153. The reversal of 82546128 is 82164528.

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

It is a junction number, because it is equal to n+sod(n) for n = 82546092 and 82546101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244776 + ... + 245112.

It is an arithmetic number, because the mean of its divisors is an integer number (1718392).

Almost surely, 2^82546128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82546128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137471360).

82546128 is an abundant number, since it is smaller than the sum of its proper divisors (192396592).

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

82546128 is an equidigital number, since it uses as much as digits as its factorization.

82546128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 349 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 82546128 is about 9085.4899702768. The cubic root of 82546128 is about 435.4105042857.

The spelling of 82546128 in words is "eighty-two million, five hundred forty-six thousand, one hundred twenty-eight".