82319520 has 96 divisors (see below), whose sum is σ = 261273600. Its totient is φ = 21785600.

The previous prime is 82319509. The next prime is 82319537. The reversal of 82319520 is 2591328.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 70945 + ... + 72095.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2^82319520 is an apocalyptic number.

82319520 is a gapful number since it is divisible by the number (80) 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 82319520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

82319520 is an abundant number, since it is smaller than the sum of its proper divisors (178954080).

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

82319520 is a wasteful number, since it uses less digits than its factorization.

82319520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 82319520 is about 9073.0105257296. The cubic root of 82319520 is about 435.0117053265.

The spelling of 82319520 in words is "eighty-two million, three hundred nineteen thousand, five hundred twenty".