83188960 has 24 divisors (see below), whose sum is σ = 196534296. Its totient is φ = 33275520.

The previous prime is 83188957. The next prime is 83188981. The reversal of 83188960 is 6988138.

It is a happy number.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 259806 + ... + 260125.

It is an arithmetic number, because the mean of its divisors is an integer number (8188929).

Almost surely, 2^83188960 is an apocalyptic number.

83188960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83188960 is an abundant number, since it is smaller than the sum of its proper divisors (113345336).

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

83188960 is a wasteful number, since it uses less digits than its factorization.

83188960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519946 (or 519938 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The square root of 83188960 is about 9120.7982106831. The cubic root of 83188960 is about 436.5378431116.

It can be divided in two parts, 83188 and 960, that added together give a palindrome (84148).

The spelling of 83188960 in words is "eighty-three million, one hundred eighty-eight thousand, nine hundred sixty".