82938240 has 576 divisors, whose sum is σ = 380933280. Its totient is φ = 16220160.

The previous prime is 82938227. The next prime is 82938259. The reversal of 82938240 is 4283928.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 82938195 and 82938204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4878712 + ... + 4878728.

Almost surely, 2^82938240 is an apocalyptic number.

82938240 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 82938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190466640).

82938240 is an abundant number, since it is smaller than the sum of its proper divisors (297995040).

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

82938240 is a wasteful number, since it uses less digits than its factorization.

82938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 82938240 is about 9107.0434280287. The cubic root of 82938240 is about 436.0988469316.

The spelling of 82938240 in words is "eighty-two million, nine hundred thirty-eight thousand, two hundred forty".