82422144 has 128 divisors (see below), whose sum is σ = 278092800. Its totient is φ = 23542272.

The previous prime is 82422139. The next prime is 82422173. The reversal of 82422144 is 44122428.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22489 + ... + 25895.

It is an arithmetic number, because the mean of its divisors is an integer number (2172600).

Almost surely, 2^82422144 is an apocalyptic number.

82422144 is a gapful number since it is divisible by the number (84) 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 82422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139046400).

82422144 is an abundant number, since it is smaller than the sum of its proper divisors (195670656).

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

82422144 is a wasteful number, since it uses less digits than its factorization.

82422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3437 (or 3419 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 82422144 is about 9078.6642189256. The cubic root of 82422144 is about 435.1924000259.

The spelling of 82422144 in words is "eighty-two million, four hundred twenty-two thousand, one hundred forty-four".