82238040 has 96 divisors (see below), whose sum is σ = 275932800. Its totient is φ = 21219840.

The previous prime is 82238029. The next prime is 82238053. The reversal of 82238040 is 4083228.

It is a junction number, because it is equal to n+sod(n) for n = 82237995 and 82238013.

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, 7476 + ... + 14844.

It is an arithmetic number, because the mean of its divisors is an integer number (2874300).

Almost surely, 2^82238040 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 82238040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137966400).

82238040 is an abundant number, since it is smaller than the sum of its proper divisors (193694760).

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

82238040 is a wasteful number, since it uses less digits than its factorization.

82238040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7417 (or 7410 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 82238040 is about 9068.5191734924. The cubic root of 82238040 is about 434.8681328396.

The spelling of 82238040 in words is "eighty-two million, two hundred thirty-eight thousand, forty".