83837268 has 120 divisors (see below), whose sum is σ = 240033024. Its totient is φ = 25401600.

The previous prime is 83837267. The next prime is 83837279. The reversal of 83837268 is 86273838.

83837268 is a `hidden beast` number, since 8 + 383 + 7 + 268 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83837267) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 170503 + ... + 170993.

Almost surely, 2^83837268 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 83837268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120016512).

83837268 is an abundant number, since it is smaller than the sum of its proper divisors (156195756).

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

83837268 is a wasteful number, since it uses less digits than its factorization.

83837268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 544 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 83837268 is about 9156.2693276247. The cubic root of 83837268 is about 437.6689185002.

It can be divided in two parts, 8383 and 7268, that added together give a palindrome (15651).

The spelling of 83837268 in words is "eighty-three million, eight hundred thirty-seven thousand, two hundred sixty-eight".