83133360 has 240 divisors, whose sum is σ = 301766400. Its totient is φ = 20445696.

The previous prime is 83133353. The next prime is 83133361. The reversal of 83133360 is 6333138.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×83133360² = 13822311089779200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83133361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 807069 + ... + 807171.

It is an arithmetic number, because the mean of its divisors is an integer number (1257360).

Almost surely, 2^83133360 is an apocalyptic number.

83133360 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 83133360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150883200).

83133360 is an abundant number, since it is smaller than the sum of its proper divisors (218633040).

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

83133360 is a wasteful number, since it uses less digits than its factorization.

83133360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 83133360 is about 9117.7497223822. The cubic root of 83133360 is about 436.4405669288.

Adding to 83133360 its reverse (6333138), we get a palindrome (89466498).

It can be divided in two parts, 831 and 33360, that added together give a triangular number (34191 = T₂₆₁).

The spelling of 83133360 in words is "eighty-three million, one hundred thirty-three thousand, three hundred sixty".