82446144 has 112 divisors (see below), whose sum is σ = 240913920. Its totient is φ = 24675840.

The previous prime is 82446139. The next prime is 82446163. The reversal of 82446144 is 44164428.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217347 + ... + 217725.

Almost surely, 2^82446144 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 82446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120456960).

82446144 is an abundant number, since it is smaller than the sum of its proper divisors (158467776).

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

82446144 is a wasteful number, since it uses less digits than its factorization.

82446144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 498 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 82446144 is about 9079.9859030728. The cubic root of 82446144 is about 435.2346362644.

The spelling of 82446144 in words is "eighty-two million, four hundred forty-six thousand, one hundred forty-four".