82437120 has 132 divisors (see below), whose sum is σ = 285802140. Its totient is φ = 21970944.

The previous prime is 82437071. The next prime is 82437127. The reversal of 82437120 is 2173428.

It can be written as a sum of positive squares in 2 ways, for example, as 57517056 + 24920064 = 7584^2 + 4992^2 .

It is not an unprimeable number, because it can be changed into a prime (82437127) 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, 45186 + ... + 46974.

Almost surely, 2^82437120 is an apocalyptic number.

82437120 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 82437120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142901070).

82437120 is an abundant number, since it is smaller than the sum of its proper divisors (203365020).

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

82437120 is a wasteful number, since it uses less digits than its factorization.

82437120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 82437120 is about 9079.4889724037. The cubic root of 82437120 is about 435.2187564004.

The spelling of 82437120 in words is "eighty-two million, four hundred thirty-seven thousand, one hundred twenty".