82038240 has 144 divisors (see below), whose sum is σ = 292245408. Its totient is φ = 20917248.

The previous prime is 82038233. The next prime is 82038247. The reversal of 82038240 is 4283028.

It is an interprime number because it is at equal distance from previous prime (82038233) and next prime (82038247).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82038247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31882 + ... + 34358.

It is an arithmetic number, because the mean of its divisors is an integer number (2029482).

Almost surely, 2^82038240 is an apocalyptic number.

82038240 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 82038240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146122704).

82038240 is an abundant number, since it is smaller than the sum of its proper divisors (210207168).

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

82038240 is a wasteful number, since it uses less digits than its factorization.

82038240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521 (or 2510 counting only the distinct ones).

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

The square root of 82038240 is about 9057.4963428091. The cubic root of 82038240 is about 434.5156718101.

It can be divided in two parts, 820 and 38240, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 82038240 in words is "eighty-two million, thirty-eight thousand, two hundred forty".