82237320 has 192 divisors, whose sum is σ = 307195200. Its totient is φ = 18869760.

The previous prime is 82237303. The next prime is 82237321. The reversal of 82237320 is 2373228.

It is not an unprimeable number, because it can be changed into a prime (82237321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74694 + ... + 75786.

It is an arithmetic number, because the mean of its divisors is an integer number (1599975).

Almost surely, 2^82237320 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 82237320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153597600).

82237320 is an abundant number, since it is smaller than the sum of its proper divisors (224957880).

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

82237320 is a wasteful number, since it uses less digits than its factorization.

82237320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 82237320 is about 9068.4794756343. The cubic root of 82237320 is about 434.8668637352.

The spelling of 82237320 in words is "eighty-two million, two hundred thirty-seven thousand, three hundred twenty".