83768520 has 128 divisors (see below), whose sum is σ = 290355840. Its totient is φ = 19107840.

The previous prime is 83768441. The next prime is 83768527. The reversal of 83768520 is 2586738.

It is not an unprimeable number, because it can be changed into a prime (83768527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20574 + ... + 24306.

It is an arithmetic number, because the mean of its divisors is an integer number (2268405).

Almost surely, 2^83768520 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 83768520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145177920).

83768520 is an abundant number, since it is smaller than the sum of its proper divisors (206587320).

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

83768520 is a wasteful number, since it uses less digits than its factorization.

83768520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3775 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 83768520 is about 9152.5144086202. The cubic root of 83768520 is about 437.5492537745.

The spelling of 83768520 in words is "eighty-three million, seven hundred sixty-eight thousand, five hundred twenty".