83638240 has 96 divisors (see below), whose sum is σ = 230247360. Its totient is φ = 28114944.

The previous prime is 83638151. The next prime is 83638271. The reversal of 83638240 is 4283638.

It is a junction number, because it is equal to n+sod(n) for n = 83638196 and 83638205.

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, 58656 + ... + 60064.

It is an arithmetic number, because the mean of its divisors is an integer number (2398410).

Almost surely, 2^83638240 is an apocalyptic number.

83638240 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 83638240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115123680).

83638240 is an abundant number, since it is smaller than the sum of its proper divisors (146609120).

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

83638240 is a wasteful number, since it uses less digits than its factorization.

83638240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 83638240 is about 9145.3944693490. The cubic root of 83638240 is about 437.3223049800.

The spelling of 83638240 in words is "eighty-three million, six hundred thirty-eight thousand, two hundred forty".