83308960 has 48 divisors (see below), whose sum is σ = 224937216. Its totient is φ = 28562688.

The previous prime is 83308937. The next prime is 83308969. The reversal of 83308960 is 6980338.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83308969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36072 + ... + 38311.

It is an arithmetic number, because the mean of its divisors is an integer number (4686192).

Almost surely, 2^83308960 is an apocalyptic number.

83308960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83308960 is an abundant number, since it is smaller than the sum of its proper divisors (141628256).

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

83308960 is a wasteful number, since it uses less digits than its factorization.

83308960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74405 (or 74397 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 83308960 is about 9127.3742116777. The cubic root of 83308960 is about 436.7476440801.

The spelling of 83308960 in words is "eighty-three million, three hundred eight thousand, nine hundred sixty".