82126944 has 72 divisors (see below), whose sum is σ = 234928512. Its totient is φ = 27214080.

The previous prime is 82126943. The next prime is 82126969. The reversal of 82126944 is 44962128.

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 82126899 and 82126908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82126943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54262 + ... + 55754.

It is an arithmetic number, because the mean of its divisors is an integer number (3262896).

Almost surely, 2^82126944 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 82126944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117464256).

82126944 is an abundant number, since it is smaller than the sum of its proper divisors (152801568).

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

82126944 is a wasteful number, since it uses less digits than its factorization.

82126944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1689 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 82126944 is about 9062.3917372844. The cubic root of 82126944 is about 434.6722223603.

The spelling of 82126944 in words is "eighty-two million, one hundred twenty-six thousand, nine hundred forty-four".