82069344 has 72 divisors (see below), whose sum is σ = 266731920. Its totient is φ = 23447808.

The previous prime is 82069291. The next prime is 82069363. The reversal of 82069344 is 44396028.

It is a happy number.

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 junction number, because it is equal to n+sod(n) for n = 82069299 and 82069308.

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 11 ways as a sum of consecutive naturals, for example, 18339 + ... + 22370.

It is an arithmetic number, because the mean of its divisors is an integer number (3704610).

Almost surely, 2^82069344 is an apocalyptic number.

82069344 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82069344 is an abundant number, since it is smaller than the sum of its proper divisors (184662576).

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

82069344 is a wasteful number, since it uses less digits than its factorization.

82069344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40732 (or 40721 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 82069344 is about 9059.2132108699. The cubic root of 82069344 is about 434.5705790004.

The spelling of 82069344 in words is "eighty-two million, sixty-nine thousand, three hundred forty-four".