82437840 has 120 divisors (see below), whose sum is σ = 281542248. Its totient is φ = 21611520.

The previous prime is 82437833. The next prime is 82437851. The reversal of 82437840 is 4873428.

It can be written as a sum of positive squares in 4 ways, for example, as 571536 + 81866304 = 756^2 + 9048^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 82437795 and 82437804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42982 + ... + 44858.

Almost surely, 2^82437840 is an apocalyptic number.

82437840 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 82437840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140771124).

82437840 is an abundant number, since it is smaller than the sum of its proper divisors (199104408).

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

82437840 is a wasteful number, since it uses less digits than its factorization.

82437840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 82437840 is about 9079.5286221257. The cubic root of 82437840 is about 435.2200234534.

The spelling of 82437840 in words is "eighty-two million, four hundred thirty-seven thousand, eight hundred forty".