83336960 has 144 divisors (see below), whose sum is σ = 233114112. Its totient is φ = 27955200.

The previous prime is 83336951. The next prime is 83336989. The reversal of 83336960 is 6963338.

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, 636095 + ... + 636225.

It is an arithmetic number, because the mean of its divisors is an integer number (1618848).

Almost surely, 2^83336960 is an apocalyptic number.

83336960 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 83336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116557056).

83336960 is an abundant number, since it is smaller than the sum of its proper divisors (149777152).

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

83336960 is a wasteful number, since it uses less digits than its factorization.

83336960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 38.

The square root of 83336960 is about 9128.9079303058. The cubic root of 83336960 is about 436.7965686465.

The spelling of 83336960 in words is "eighty-three million, three hundred thirty-six thousand, nine hundred sixty".