82337240 has 64 divisors (see below), whose sum is σ = 199618560. Its totient is φ = 30476160.

The previous prime is 82337221. The next prime is 82337261. The reversal of 82337240 is 4273328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27077 + ... + 29963.

It is an arithmetic number, because the mean of its divisors is an integer number (3119040).

Almost surely, 2^82337240 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 82337240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99809280).

82337240 is an abundant number, since it is smaller than the sum of its proper divisors (117281320).

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

82337240 is a wasteful number, since it uses less digits than its factorization.

82337240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 82337240 is about 9073.9869958029. The cubic root of 82337240 is about 435.0429164510.

The spelling of 82337240 in words is "eighty-two million, three hundred thirty-seven thousand, two hundred forty".