82296320 has 160 divisors (see below), whose sum is σ = 219200256. Its totient is φ = 29491200.

The previous prime is 82296317. The next prime is 82296329. The reversal of 82296320 is 2369228.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82296329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1349090 + ... + 1349150.

Almost surely, 2^82296320 is an apocalyptic number.

82296320 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 82296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109600128).

82296320 is an abundant number, since it is smaller than the sum of its proper divisors (136903936).

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

82296320 is a wasteful number, since it uses less digits than its factorization.

82296320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 82296320 is about 9071.7319184376. The cubic root of 82296320 is about 434.9708352314.

The spelling of 82296320 in words is "eighty-two million, two hundred ninety-six thousand, three hundred twenty".