83345360 has 80 divisors (see below), whose sum is σ = 228652032. Its totient is φ = 27648000.

The previous prime is 83345359. The next prime is 83345369. The reversal of 83345360 is 6354338.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83345369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14960 + ... + 19760.

Almost surely, 2^83345360 is an apocalyptic number.

83345360 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 83345360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114326016).

83345360 is an abundant number, since it is smaller than the sum of its proper divisors (145306672).

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

83345360 is a wasteful number, since it uses less digits than its factorization.

83345360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4852 (or 4846 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 83345360 is about 9129.3679956501. The cubic root of 83345360 is about 436.8112438795.

Adding to 83345360 its reverse (6354338), we get a palindrome (89699698).

The spelling of 83345360 in words is "eighty-three million, three hundred forty-five thousand, three hundred sixty".